408408084800 has 84 divisors (see below), whose sum is σ = 1029450019836. Its totient is φ = 159378739200.

The previous prime is 408408084751. The next prime is 408408084809. The reversal of 408408084800 is 8480804804.

It can be written as a sum of positive squares in 6 ways, for example, as 118550753344 + 289857331456 = 344312^2 + 538384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408408084809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3047267 + ... + 3178466.

It is an arithmetic number, because the mean of its divisors is an integer number (12255357379).

Almost surely, 2^408408084800 is an apocalyptic number.

408408084800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408408084800 is an abundant number, since it is smaller than the sum of its proper divisors (621041935036).

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

408408084800 is a wasteful number, since it uses less digits than its factorization.

408408084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225796 (or 6225781 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 408408084800 in words is "four hundred eight billion, four hundred eight million, eighty-four thousand, eight hundred".