408400800 has 72 divisors (see below), whose sum is σ = 1329352416. Its totient is φ = 108906240.

The previous prime is 408400793. The next prime is 408400831. The reversal of 408400800 is 8004804.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 82684 + ... + 87483.

It is an arithmetic number, because the mean of its divisors is an integer number (18463228).

Almost surely, 2^408400800 is an apocalyptic number.

408400800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408400800 is an abundant number, since it is smaller than the sum of its proper divisors (920951616).

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

408400800 is a wasteful number, since it uses less digits than its factorization.

408400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170190 (or 170177 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 408400800 is about 20208.9287197516. The cubic root of 408400800 is about 741.9287401627.

The spelling of 408400800 in words is "four hundred eight million, four hundred thousand, eight hundred".