406113664 has 32 divisors (see below), whose sum is σ = 882608040. Its totient is φ = 184596480.

The previous prime is 406113623. The next prime is 406113677. The reversal of 406113664 is 466311604.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 142809 + ... + 145624.

Almost surely, 2^406113664 is an apocalyptic number.

406113664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

406113664 is an abundant number, since it is smaller than the sum of its proper divisors (476494376).

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

406113664 is a wasteful number, since it uses less digits than its factorization.

406113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288458 (or 288446 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 406113664 is about 20152.2620070304. The cubic root of 406113664 is about 740.5411576035.

The spelling of 406113664 in words is "four hundred six million, one hundred thirteen thousand, six hundred sixty-four".