408881600 has 42 divisors (see below), whose sum is σ = 1006108224. Its totient is φ = 163552000.

The previous prime is 408881579. The next prime is 408881609. The reversal of 408881600 is 6188804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408881609) 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, 126176 + ... + 129375.

Almost surely, 2^408881600 is an apocalyptic number.

408881600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408881600 is an abundant number, since it is smaller than the sum of its proper divisors (597226624).

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

408881600 is a wasteful number, since it uses less digits than its factorization.

408881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255573 (or 255558 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 408881600 is about 20220.8209526715. The cubic root of 408881600 is about 742.2197773368.

The spelling of 408881600 in words is "four hundred eight million, eight hundred eighty-one thousand, six hundred".