408152873520 has 540 divisors, whose sum is σ = 1693857282624. Its totient is φ = 87802122240.

The previous prime is 408152873519. The next prime is 408152873587. The reversal of 408152873520 is 25378251804.

408152873520 is a `hidden beast` number, since 4 + 0 + 8 + 1 + 52 + 8 + 73 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10175905 + ... + 10215935.

Almost surely, 2^408152873520 is an apocalyptic number.

408152873520 is a gapful number since it is divisible by the number (40) 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 408152873520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846928641312).

408152873520 is an abundant number, since it is smaller than the sum of its proper divisors (1285704409104).

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

408152873520 is a wasteful number, since it uses less digits than its factorization.

408152873520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40098 (or 40065 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 408152873520 in words is "four hundred eight billion, one hundred fifty-two million, eight hundred seventy-three thousand, five hundred twenty".