408000400 has 30 divisors (see below), whose sum is σ = 980221922. Its totient is φ = 163200000.

The previous prime is 408000377. The next prime is 408000401. The reversal of 408000400 is 4000804.

It can be written as a sum of positive squares in 3 ways, for example, as 35664784 + 372335616 = 5972^2 + 19296^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (408000401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 509601 + ... + 510400.

Almost surely, 2^408000400 is an apocalyptic number.

408000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408000400 is an abundant number, since it is smaller than the sum of its proper divisors (572221522).

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

408000400 is a wasteful number, since it uses less digits than its factorization.

408000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020019 (or 1020008 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 408000400 is about 20199.0197781972. The cubic root of 408000400 is about 741.6861962342.

The spelling of 408000400 in words is "four hundred eight million, four hundred", and thus it is an aban number.