408531530880 has 2048 divisors, whose sum is σ = 1776660480000. Its totient is φ = 87588864000.

The previous prime is 408531530873. The next prime is 408531530903. The reversal of 408531530880 is 88035135804.

408531530880 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 31 + 530 + 8 + 80 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4590241876 + ... + 4590241964.

It is an arithmetic number, because the mean of its divisors is an integer number (867510000).

Almost surely, 2^408531530880 is an apocalyptic number.

408531530880 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 408531530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888330240000).

408531530880 is an abundant number, since it is smaller than the sum of its proper divisors (1368128949120).

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

408531530880 is a wasteful number, since it uses less digits than its factorization.

408531530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 408531530880 in words is "four hundred eight billion, five hundred thirty-one million, five hundred thirty thousand, eight hundred eighty".