465209664 has 56 divisors (see below), whose sum is σ = 1236268800. Its totient is φ = 154389504.

The previous prime is 465209627. The next prime is 465209681. The reversal of 465209664 is 466902564.

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 7 ways as a sum of consecutive naturals, for example, 39537 + ... + 49935.

Almost surely, 2^465209664 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 465209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618134400).

465209664 is an abundant number, since it is smaller than the sum of its proper divisors (771059136).

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

465209664 is a wasteful number, since it uses less digits than its factorization.

465209664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647 (or 10637 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 465209664 is about 21568.7195725662. The cubic root of 465209664 is about 774.8475115871.

The spelling of 465209664 in words is "four hundred sixty-five million, two hundred nine thousand, six hundred sixty-four".