409402972 has 24 divisors (see below), whose sum is σ = 788901120. Its totient is φ = 184350960.

The previous prime is 409402963. The next prime is 409402997. The reversal of 409402972 is 279204904.

It is a super-2 number, since 2×409402972² = 335221586964865568, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 38772 + ... + 48187.

It is an arithmetic number, because the mean of its divisors is an integer number (32870880).

Almost surely, 2^409402972 is an apocalyptic number.

It is an amenable number.

409402972 is a deficient number, since it is larger than the sum of its proper divisors (379498148).

409402972 is a wasteful number, since it uses less digits than its factorization.

409402972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87081 (or 87079 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 409402972 is about 20233.7088048632. The cubic root of 409402972 is about 742.5351157686.

The spelling of 409402972 in words is "four hundred nine million, four hundred two thousand, nine hundred seventy-two".