414307964 has 12 divisors (see below), whose sum is σ = 828615984. Its totient is φ = 177560544.

The previous prime is 414307931. The next prime is 414307973. The reversal of 414307964 is 469703414.

414307964 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7398329 + ... + 7398384.

It is an arithmetic number, because the mean of its divisors is an integer number (69051332).

Almost surely, 2^414307964 is an apocalyptic number.

It is an amenable number.

414307964 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

414307964 is a wasteful number, since it uses less digits than its factorization.

414307964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796724 (or 14796722 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 414307964 is about 20354.5563449563. The cubic root of 414307964 is about 745.4887497528.

It can be divided in two parts, 41430 and 7964, that added together give a palindrome (49394).

The spelling of 414307964 in words is "four hundred fourteen million, three hundred seven thousand, nine hundred sixty-four".