412634664 has 48 divisors (see below), whose sum is σ = 1203520500. Its totient is φ = 126964224.

The previous prime is 412634653. The next prime is 412634687. The reversal of 412634664 is 466436214.

412634664 is a `hidden beast` number, since 4 + 12 + 634 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370254564 + 42380100 = 19242^2 + 6510^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219489 + ... + 221360.

Almost surely, 2^412634664 is an apocalyptic number.

It is an amenable number.

412634664 is an abundant number, since it is smaller than the sum of its proper divisors (790885836).

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

412634664 is a wasteful number, since it uses less digits than its factorization.

412634664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440874 (or 440867 counting only the distinct ones).

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

The square root of 412634664 is about 20313.4109395739. The cubic root of 412634664 is about 744.4837731225.

Subtracting from 412634664 its sum of digits (36), we obtain a triangular number (412634628 = T₂₈₇₂₇).

The spelling of 412634664 in words is "four hundred twelve million, six hundred thirty-four thousand, six hundred sixty-four".