408538832 has 80 divisors (see below), whose sum is σ = 931940352. Its totient is φ = 171694080.

The previous prime is 408538831. The next prime is 408538843. The reversal of 408538832 is 238835804.

It is a self number, because there is not a number n which added to its sum of digits gives 408538832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408538831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107753 + ... + 111479.

Almost surely, 2^408538832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408538832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465970176).

408538832 is an abundant number, since it is smaller than the sum of its proper divisors (523401520).

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

408538832 is a wasteful number, since it uses less digits than its factorization.

408538832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 408538832 is about 20212.3435553624. The cubic root of 408538832 is about 742.0123168619.

The spelling of 408538832 in words is "four hundred eight million, five hundred thirty-eight thousand, eight hundred thirty-two".