408842590464 has 729 divisors, whose sum is σ = 1516004630049. Its totient is φ = 105579048960.

The previous prime is 408842590451. The next prime is 408842590511. The reversal of 408842590464 is 464095248804.

It is a happy number.

The square root of 408842590464 is 639408.

It is a perfect power (a square), and thus also a powerful number.

408842590464 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 4 + 2 + 590 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 371904825600 + 36937764864 = 609840^2 + 192192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 408842590464.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2363251882 + ... + 2363252054.

Almost surely, 2^408842590464 is an apocalyptic number.

408842590464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

408842590464 is the 639408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408842590464

408842590464 is an abundant number, since it is smaller than the sum of its proper divisors (1107162039585).

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

408842590464 is a wasteful number, since it uses less digits than its factorization.

408842590464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 408842590464 in words is "four hundred eight billion, eight hundred forty-two million, five hundred ninety thousand, four hundred sixty-four".