465666564 has 72 divisors (see below), whose sum is σ = 1211402304. Its totient is φ = 139092800.

The previous prime is 465666563. The next prime is 465666581.

It is a happy number.

465666564 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (465666563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100834 + ... + 105350.

It is an arithmetic number, because the mean of its divisors is an integer number (16825032).

Almost surely, 2^465666564 is an apocalyptic number.

465666564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465666564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605701152).

465666564 is an abundant number, since it is smaller than the sum of its proper divisors (745735740).

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

465666564 is a wasteful number, since it uses less digits than its factorization.

465666564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617 (or 4604 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The square root of 465666564 is about 21579.3087006975. The cubic root of 465666564 is about 775.1010975988.

The spelling of 465666564 in words is "four hundred sixty-five million, six hundred sixty-six thousand, five hundred sixty-four".