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440489412 = 2232117731439
BaseRepresentation
bin11010010000010…
…101010111000100
31010200212011212200
4122100111113010
51400231130122
6111413114500
713626045456
oct3220252704
91120764780
10440489412
11206710240
12103628a30
1370349b2c
14427042d6
1528a105ac
hex1a4155c4

440489412 has 72 divisors (see below), whose sum is σ = 1217099520. Its totient is φ = 133216320.

The previous prime is 440489411. The next prime is 440489417. The reversal of 440489412 is 214984044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (440489411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305389 + ... + 306827.

It is an arithmetic number, because the mean of its divisors is an integer number (16904160).

Almost surely, 2440489412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440489412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608549760).

440489412 is an abundant number, since it is smaller than the sum of its proper divisors (776610108).

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

440489412 is a wasteful number, since it uses less digits than its factorization.

440489412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 440489412 is about 20987.8396220288. The cubic root of 440489412 is about 760.8723892615.

The spelling of 440489412 in words is "four hundred forty million, four hundred eighty-nine thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 773 1439 1546 2319 2878 3092 4317 4638 5756 6957 8503 8634 9276 12951 13914 15829 17006 17268 25509 25902 27828 31658 34012 47487 51018 51804 63316 76527 94974 102036 142461 153054 189948 284922 306108 569844 1112347 2224694 3337041 4449388 6674082 10011123 12235817 13348164 20022246 24471634 36707451 40044492 48943268 73414902 110122353 146829804 220244706 440489412