408578132480 has 160 divisors (see below), whose sum is σ = 1158184621440. Its totient is φ = 135253278720.

The previous prime is 408578132471. The next prime is 408578132491. The reversal of 408578132480 is 84231875804.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126575 + ... + 912785.

It is an arithmetic number, because the mean of its divisors is an integer number (7238653884).

Almost surely, 2^408578132480 is an apocalyptic number.

408578132480 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 408578132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579092310720).

408578132480 is an abundant number, since it is smaller than the sum of its proper divisors (749606488960).

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

408578132480 is an equidigital number, since it uses as much as digits as its factorization.

408578132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786270 (or 786254 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The spelling of 408578132480 in words is "four hundred eight billion, five hundred seventy-eight million, one hundred thirty-two thousand, four hundred eighty".