408972591 has 32 divisors (see below), whose sum is σ = 635627520. Its totient is φ = 259392672.

The previous prime is 408972589. The next prime is 408972607. The reversal of 408972591 is 195279804.

It is not a de Polignac number, because 408972591 - 2¹ = 408972589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408976591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120666 + ... + 124008.

It is an arithmetic number, because the mean of its divisors is an integer number (19863360).

Almost surely, 2^408972591 is an apocalyptic number.

408972591 is a deficient number, since it is larger than the sum of its proper divisors (226654929).

408972591 is a wasteful number, since it uses less digits than its factorization.

408972591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3572 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 408972591 is about 20223.0707608909. The cubic root of 408972591 is about 742.2748302019.

The spelling of 408972591 in words is "four hundred eight million, nine hundred seventy-two thousand, five hundred ninety-one".