414632664 has 48 divisors (see below), whose sum is σ = 1126635120. Its totient is φ = 137759040.

The previous prime is 414632663. The next prime is 414632681. The reversal of 414632664 is 466236414.

414632664 is a `hidden beast` number, since 4 + 14 + 632 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414632663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13134 + ... + 31650.

It is an arithmetic number, because the mean of its divisors is an integer number (23471565).

Almost surely, 2^414632664 is an apocalyptic number.

It is an amenable number.

414632664 is an abundant number, since it is smaller than the sum of its proper divisors (712002456).

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

414632664 is a wasteful number, since it uses less digits than its factorization.

414632664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18840 (or 18833 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 414632664 is about 20362.5308839545. The cubic root of 414632664 is about 745.6834495173.

The spelling of 414632664 in words is "four hundred fourteen million, six hundred thirty-two thousand, six hundred sixty-four".