408972300 has 72 divisors (see below), whose sum is σ = 1290875712. Its totient is φ = 99144000.

The previous prime is 408972299. The next prime is 408972307. The reversal of 408972300 is 3279804.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (408972307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58666 + ... + 65265.

Almost surely, 2^408972300 is an apocalyptic number.

It is an amenable number.

408972300 is an abundant number, since it is smaller than the sum of its proper divisors (881903412).

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

408972300 is a wasteful number, since it uses less digits than its factorization.

408972300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123959 (or 123952 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 408972300 is about 20223.0635661366. The cubic root of 408972300 is about 742.2746541493.

The spelling of 408972300 in words is "four hundred eight million, nine hundred seventy-two thousand, three hundred".