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450531440 = 24522724809
BaseRepresentation
bin11010110110101…
…001000001110000
31011101202100221122
4122312221001300
51410314001230
6112412241412
714110311512
oct3266510160
91141670848
10450531440
11211349a37
12106a70268
1372454868
1443b99bb2
1529845be5
hex1ada9070

450531440 has 40 divisors (see below), whose sum is σ = 1052142480. Its totient is φ = 179411456.

The previous prime is 450531437. The next prime is 450531451. The reversal of 450531440 is 44135054.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5756 + ... + 30564.

It is an arithmetic number, because the mean of its divisors is an integer number (26303562).

Almost surely, 2450531440 is an apocalyptic number.

450531440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450531440 is an abundant number, since it is smaller than the sum of its proper divisors (601611040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450531440 is a wasteful number, since it uses less digits than its factorization.

450531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25049 (or 25043 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 450531440 is about 21225.7259004256. The cubic root of 450531440 is about 766.6109785218.

Adding to 450531440 its reverse (44135054), we get a palindrome (494666494).

The spelling of 450531440 in words is "four hundred fifty million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 227 454 908 1135 1816 2270 3632 4540 9080 18160 24809 49618 99236 124045 198472 248090 396944 496180 992360 1984720 5631643 11263286 22526572 28158215 45053144 56316430 90106288 112632860 225265720 450531440