408087372 has 96 divisors (see below), whose sum is σ = 1214889984. Its totient is φ = 103521600.

The previous prime is 408087371. The next prime is 408087437. The reversal of 408087372 is 273780804.

It is a self number, because there is not a number n which added to its sum of digits gives 408087372.

It is not an unprimeable number, because it can be changed into a prime (408087371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34597 + ... + 44867.

It is an arithmetic number, because the mean of its divisors is an integer number (12655104).

Almost surely, 2^408087372 is an apocalyptic number.

408087372 is a gapful number since it is divisible by the number (42) 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 408087372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607444992).

408087372 is an abundant number, since it is smaller than the sum of its proper divisors (806802612).

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

408087372 is a wasteful number, since it uses less digits than its factorization.

408087372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10339 (or 10337 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 408087372 is about 20201.1725402265. The cubic root of 408087372 is about 741.7388933630.

The spelling of 408087372 in words is "four hundred eight million, eighty-seven thousand, three hundred seventy-two".