408256800 has 288 divisors, whose sum is σ = 1599897600. Its totient is φ = 88335360.

The previous prime is 408256799. The next prime is 408256817. The reversal of 408256800 is 8652804.

It is a super-2 number, since 2×408256800² = 333347229492480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318561 + ... + 319839.

It is an arithmetic number, because the mean of its divisors is an integer number (5555200).

Almost surely, 2^408256800 is an apocalyptic number.

408256800 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 408256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799948800).

408256800 is an abundant number, since it is smaller than the sum of its proper divisors (1191640800).

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

408256800 is a wasteful number, since it uses less digits than its factorization.

408256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 408256800 is about 20205.3656240119. The cubic root of 408256800 is about 741.8415298390.

The spelling of 408256800 in words is "four hundred eight million, two hundred fifty-six thousand, eight hundred".