408998709504 has 1440 divisors, whose sum is σ = 1607645571840. Its totient is φ = 101165137920.

The previous prime is 408998709491. The next prime is 408998709527. The reversal of 408998709504 is 405907899804.

408998709504 is a `hidden beast` number, since 40 + 8 + 9 + 9 + 87 + 0 + 9 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5602722012 + ... + 5602722084.

It is an arithmetic number, because the mean of its divisors is an integer number (1116420536).

Almost surely, 2^408998709504 is an apocalyptic number.

408998709504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408998709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803822785920).

408998709504 is an abundant number, since it is smaller than the sum of its proper divisors (1198646862336).

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

408998709504 is an equidigital number, since it uses as much as digits as its factorization.

408998709504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 408998709504 in words is "four hundred eight billion, nine hundred ninety-eight million, seven hundred nine thousand, five hundred four".