406084160 has 28 divisors (see below), whose sum is σ = 966988668. Its totient is φ = 162433536.

The previous prime is 406084157. The next prime is 406084163. The reversal of 406084160 is 61480604.

It is an interprime number because it is at equal distance from previous prime (406084157) and next prime (406084163).

It can be written as a sum of positive squares in 2 ways, for example, as 214095424 + 191988736 = 14632^2 + 13856^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (406084163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 634187 + ... + 634826.

Almost surely, 2^406084160 is an apocalyptic number.

406084160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406084160 is an abundant number, since it is smaller than the sum of its proper divisors (560904508).

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

406084160 is a wasteful number, since it uses less digits than its factorization.

406084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269030 (or 1269020 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 406084160 is about 20151.5299667296. The cubic root of 406084160 is about 740.5232238267.

The spelling of 406084160 in words is "four hundred six million, eighty-four thousand, one hundred sixty".