465344415504 has 200 divisors, whose sum is σ = 1427910904728. Its totient is φ = 145801728000.

The previous prime is 465344415491. The next prime is 465344415511. The reversal of 465344415504 is 405514443564.

465344415504 is a `hidden beast` number, since 4 + 6 + 53 + 4 + 4 + 41 + 550 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89389040400 + 375955375104 = 298980^2 + 613152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 465344415504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17546254 + ... + 17572754.

Almost surely, 2^465344415504 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 465344415504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713955452364).

465344415504 is an abundant number, since it is smaller than the sum of its proper divisors (962566489224).

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

465344415504 is a wasteful number, since it uses less digits than its factorization.

465344415504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27335 (or 27320 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 465344415504 in words is "four hundred sixty-five billion, three hundred forty-four million, four hundred fifteen thousand, five hundred four".