465937056 has 144 divisors (see below), whose sum is σ = 1472022720. Its totient is φ = 143320320.

The previous prime is 465937033. The next prime is 465937063. The reversal of 465937056 is 650739564.

465937056 is a `hidden beast` number, since 4 + 6 + 593 + 7 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 144421 + ... + 147611.

It is an arithmetic number, because the mean of its divisors is an integer number (10222380).

Almost surely, 2^465937056 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 465937056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736011360).

465937056 is an abundant number, since it is smaller than the sum of its proper divisors (1006085664).

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

465937056 is a wasteful number, since it uses less digits than its factorization.

465937056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 465937056 is about 21585.5751834414. The cubic root of 465937056 is about 775.2511463536.

The spelling of 465937056 in words is "four hundred sixty-five million, nine hundred thirty-seven thousand, fifty-six".