465037056 has 216 divisors, whose sum is σ = 1492283520. Its totient is φ = 138086400.

The previous prime is 465037039. The next prime is 465037061. The reversal of 465037056 is 650730564.

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

It is a self number, because there is not a number n which added to its sum of digits gives 465037056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1495141 + ... + 1495451.

It is an arithmetic number, because the mean of its divisors is an integer number (6908720).

Almost surely, 2^465037056 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 465037056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746141760).

465037056 is an abundant number, since it is smaller than the sum of its proper divisors (1027246464).

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

465037056 is a wasteful number, since it uses less digits than its factorization.

465037056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 465037056 is about 21564.7178511568. The cubic root of 465037056 is about 774.7516684764.

The spelling of 465037056 in words is "four hundred sixty-five million, thirty-seven thousand, fifty-six".