409630400 has 42 divisors (see below), whose sum is σ = 1007950740. Its totient is φ = 163851520.

The previous prime is 409630399. The next prime is 409630439. The reversal of 409630400 is 4036904.

It is a self number, because there is not a number n which added to its sum of digits gives 409630400.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 126410 + ... + 129609.

Almost surely, 2^409630400 is an apocalyptic number.

409630400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409630400 is an abundant number, since it is smaller than the sum of its proper divisors (598320340).

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

409630400 is a wasteful number, since it uses less digits than its factorization.

409630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256041 (or 256026 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 409630400 is about 20239.3280520871. The cubic root of 409630400 is about 742.6725858793.

The spelling of 409630400 in words is "four hundred nine million, six hundred thirty thousand, four hundred".