408480888800 has 72 divisors (see below), whose sum is σ = 1006523843976. Its totient is φ = 161865290240.

The previous prime is 408480888797. The next prime is 408480888833. The reversal of 408480888800 is 8888084804.

It is a congruent number.

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, 2300387 + ... + 2471586.

It is an arithmetic number, because the mean of its divisors is an integer number (13979497833).

Almost surely, 2^408480888800 is an apocalyptic number.

408480888800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408480888800 is an abundant number, since it is smaller than the sum of its proper divisors (598042955176).

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

408480888800 is a wasteful number, since it uses less digits than its factorization.

408480888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772100 (or 4772087 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 56.

The spelling of 408480888800 in words is "four hundred eight billion, four hundred eighty million, eight hundred eighty-eight thousand, eight hundred".