408972408 has 32 divisors (see below), whose sum is σ = 1101080400. Its totient is φ = 125837568.

The previous prime is 408972371. The next prime is 408972409. The reversal of 408972408 is 804279804.

It is a self number, because there is not a number n which added to its sum of digits gives 408972408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408972409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655093 + ... + 655716.

Almost surely, 2^408972408 is an apocalyptic number.

It is an amenable number.

408972408 is an abundant number, since it is smaller than the sum of its proper divisors (692107992).

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

408972408 is a wasteful number, since it uses less digits than its factorization.

408972408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310831 (or 1310827 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 408972408 is about 20223.0662363550. The cubic root of 408972408 is about 742.2747194884.

The spelling of 408972408 in words is "four hundred eight million, nine hundred seventy-two thousand, four hundred eight".