445656960 has 288 divisors, whose sum is σ = 1791293400. Its totient is φ = 101799936.

The previous prime is 445656929. The next prime is 445656977. The reversal of 445656960 is 69656544.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×445656960² = 397220251992883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 281451 + ... + 283029.

Almost surely, 2^445656960 is an apocalyptic number.

445656960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895646700).

445656960 is an abundant number, since it is smaller than the sum of its proper divisors (1345636440).

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

445656960 is a wasteful number, since it uses less digits than its factorization.

445656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 445656960 is about 21110.5888122525. The cubic root of 445656960 is about 763.8361901296.

It can be divided in two parts, 4456 and 56960, that added together give a palindrome (61416).

The spelling of 445656960 in words is "four hundred forty-five million, six hundred fifty-six thousand, nine hundred sixty".