408476160 has 120 divisors (see below), whose sum is σ = 1414747620. Its totient is φ = 108920832.

The previous prime is 408476149. The next prime is 408476203. The reversal of 408476160 is 61674804.

It can be written as a sum of positive squares in 2 ways, for example, as 408363264 + 112896 = 20208^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14176 + ... + 31904.

Almost surely, 2^408476160 is an apocalyptic number.

408476160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707373810).

408476160 is an abundant number, since it is smaller than the sum of its proper divisors (1006271460).

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

408476160 is a wasteful number, since it uses less digits than its factorization.

408476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17758 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 408476160 is about 20210.7931561332. The cubic root of 408476160 is about 741.9743720609.

The spelling of 408476160 in words is "four hundred eight million, four hundred seventy-six thousand, one hundred sixty".