405600400 has 60 divisors (see below), whose sum is σ = 1016845632. Its totient is φ = 155182720.

The previous prime is 405600389. The next prime is 405600421. The reversal of 405600400 is 4006504.

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, 12844 + ... + 31243.

Almost surely, 2^405600400 is an apocalyptic number.

405600400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405600400 is an abundant number, since it is smaller than the sum of its proper divisors (611245232).

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

405600400 is a wasteful number, since it uses less digits than its factorization.

405600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44128 (or 44117 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 405600400 is about 20139.5233310026. The cubic root of 405600400 is about 740.2290501084.

Adding to 405600400 its reverse (4006504), we get a palindrome (409606904).

The spelling of 405600400 in words is "four hundred five million, six hundred thousand, four hundred".