408396504100 has 72 divisors (see below), whose sum is σ = 954652601448. Its totient is φ = 150751257600.

The previous prime is 408396504083. The next prime is 408396504119. The reversal of 408396504100 is 1405693804.

It can be written as a sum of positive squares in 12 ways, for example, as 202478400576 + 205918103524 = 449976^2 + 453782^2 .

It is a super-3 number, since 3×408396504100³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4926192 + ... + 5008408.

It is an arithmetic number, because the mean of its divisors is an integer number (13259063909).

Almost surely, 2^408396504100 is an apocalyptic number.

It is an amenable number.

408396504100 is an abundant number, since it is smaller than the sum of its proper divisors (546256097348).

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

408396504100 is a wasteful number, since it uses less digits than its factorization.

408396504100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86065 (or 86058 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 408396504100 in words is "four hundred eight billion, three hundred ninety-six million, five hundred four thousand, one hundred".