414405664 has 12 divisors (see below), whose sum is σ = 815861214. Its totient is φ = 207202816.

The previous prime is 414405647. The next prime is 414405709. The reversal of 414405664 is 466504414.

It can be written as a sum of positive squares in only one way, i.e., 369408400 + 44997264 = 19220^2 + 6708^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 as a sum of consecutive naturals, namely, 6475057 + ... + 6475120.

Almost surely, 2^414405664 is an apocalyptic number.

It is an amenable number.

414405664 is a deficient number, since it is larger than the sum of its proper divisors (401455550).

414405664 is a wasteful number, since it uses less digits than its factorization.

414405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950187 (or 12950179 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 414405664 is about 20356.9561575399. The cubic root of 414405664 is about 745.5473442709.

The spelling of 414405664 in words is "four hundred fourteen million, four hundred five thousand, six hundred sixty-four".