465918864 has 60 divisors (see below), whose sum is σ = 1278627984. Its totient is φ = 146166272.

The previous prime is 465918851. The next prime is 465918877. The reversal of 465918864 is 468819564.

It is an interprime number because it is at equal distance from previous prime (465918851) and next prime (465918877).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2922 + ... + 30665.

Almost surely, 2^465918864 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 465918864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639313992).

465918864 is an abundant number, since it is smaller than the sum of its proper divisors (812709120).

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

465918864 is a wasteful number, since it uses less digits than its factorization.

465918864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33632 (or 33609 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 465918864 is about 21585.1537868045. The cubic root of 465918864 is about 775.2410566128.

It can be divided in two parts, 46591 and 8864, that added together give a palindrome (55455).

The spelling of 465918864 in words is "four hundred sixty-five million, nine hundred eighteen thousand, eight hundred sixty-four".