408970496880 has 240 divisors, whose sum is σ = 1553813299584. Its totient is φ = 99144311040.

The previous prime is 408970496843. The next prime is 408970496899. The reversal of 408970496880 is 88694079804.

408970496880 is a `hidden beast` number, since 408 + 97 + 0 + 4 + 9 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742414 + ... + 1170093.

Almost surely, 2^408970496880 is an apocalyptic number.

408970496880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408970496880 is an abundant number, since it is smaller than the sum of its proper divisors (1144842802704).

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

408970496880 is a wasteful number, since it uses less digits than its factorization.

408970496880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912546 (or 1912528 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 408970496880 in words is "four hundred eight billion, nine hundred seventy million, four hundred ninety-six thousand, eight hundred eighty".