408000488400 has 240 divisors, whose sum is σ = 1453364121600. Its totient is φ = 108711383040.

The previous prime is 408000488369. The next prime is 408000488459. The reversal of 408000488400 is 4884000804.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

408000488400 is a modest number, since divided by 488400 gives 408000 as remainder.

It is a congruent number.

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, 13798432 + ... + 13827968.

It is an arithmetic number, because the mean of its divisors is an integer number (6055683840).

Almost surely, 2^408000488400 is an apocalyptic number.

408000488400 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 408000488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726682060800).

408000488400 is an abundant number, since it is smaller than the sum of its proper divisors (1045363633200).

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

408000488400 is a wasteful number, since it uses less digits than its factorization.

408000488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30843 (or 30826 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 408000488400 in words is "four hundred eight billion, four hundred eighty-eight thousand, four hundred".