408400672 has 96 divisors (see below), whose sum is σ = 868734720. Its totient is φ = 188651520.

The previous prime is 408400667. The next prime is 408400679. The reversal of 408400672 is 276004804.

It is a super-2 number, since 2×408400672² = 333582217780103168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (408400679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281479 + ... + 2281657.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^408400672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

408400672 is an abundant number, since it is smaller than the sum of its proper divisors (460334048).

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

408400672 is a wasteful number, since it uses less digits than its factorization.

408400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 408400672 is about 20208.9255528343. The cubic root of 408400672 is about 741.9286626515.

The spelling of 408400672 in words is "four hundred eight million, four hundred thousand, six hundred seventy-two".