466355264 has 56 divisors (see below), whose sum is σ = 971092800. Its totient is φ = 221903360.

The previous prime is 466355257. The next prime is 466355269. The reversal of 466355264 is 462553664.

It is a happy number.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (466355269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130007 + ... + 133545.

Almost surely, 2^466355264 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 466355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485546400).

466355264 is an abundant number, since it is smaller than the sum of its proper divisors (504737536).

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

466355264 is a wasteful number, since it uses less digits than its factorization.

466355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3641 counting only the distinct ones).

The product of its digits is 518400, while the sum is 41.

The square root of 466355264 is about 21595.2602207058. The cubic root of 466355264 is about 775.4830226511.

The spelling of 466355264 in words is "four hundred sixty-six million, three hundred fifty-five thousand, two hundred sixty-four".