465618636 has 144 divisors (see below), whose sum is σ = 1462056960. Its totient is φ = 121927680.

The previous prime is 465618599. The next prime is 465618677. The reversal of 465618636 is 636816564.

465618636 is a `hidden beast` number, since 4 + 6 + 5 + 6 + 1 + 8 + 636 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 465618591 and 465618600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146860 + ... + 149996.

Almost surely, 2^465618636 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 465618636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731028480).

465618636 is an abundant number, since it is smaller than the sum of its proper divisors (996438324).

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

465618636 is a wasteful number, since it uses less digits than its factorization.

465618636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3199 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 465618636 is about 21578.1981638875. The cubic root of 465618636 is about 775.0745046652.

The spelling of 465618636 in words is "four hundred sixty-five million, six hundred eighteen thousand, six hundred thirty-six".