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440807445 = 3251331109223
BaseRepresentation
bin11010010001100…
…011000000010101
31010201110100010200
4122101203000111
51400321314240
6111424011113
713631541621
oct3221430025
91121410120
10440807445
11206908181
12103760a99
137042b810
1442788181
1528a74930
hex1a463015

440807445 has 96 divisors (see below), whose sum is σ = 861020160. Its totient is φ = 207152640.

The previous prime is 440807401. The next prime is 440807449. The reversal of 440807445 is 544708044.

It is not a de Polignac number, because 440807445 - 27 = 440807317 is a prime.

It is a super-2 number, since 2×4408074452 = 388622407134856050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440807449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1976604 + ... + 1976826.

It is an arithmetic number, because the mean of its divisors is an integer number (8968960).

Almost surely, 2440807445 is an apocalyptic number.

440807445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

440807445 is a deficient number, since it is larger than the sum of its proper divisors (420212715).

440807445 is a wasteful number, since it uses less digits than its factorization.

440807445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 440807445 is about 20995.4148565824. The cubic root of 440807445 is about 761.0554616262.

The spelling of 440807445 in words is "four hundred forty million, eight hundred seven thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 31 39 45 65 93 109 117 155 195 223 279 327 403 465 545 585 669 981 1115 1209 1395 1417 1635 2007 2015 2899 3345 3379 3627 4251 4905 6045 6913 7085 8697 10035 10137 12753 14495 16895 18135 20739 21255 24307 26091 30411 34565 43485 43927 50685 62217 63765 72921 89869 103695 121535 130455 131781 152055 218763 219635 269607 311085 315991 364605 395343 449345 658905 753517 808821 947973 1093815 1348035 1579955 1976715 2260551 2843919 3767585 4044105 4739865 6781653 9795721 11302755 14219595 29387163 33908265 48978605 88161489 146935815 440807445