408083832 has 160 divisors (see below), whose sum is σ = 1242244080. Its totient is φ = 124416000.

The previous prime is 408083831. The next prime is 408083833. The reversal of 408083832 is 238380804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (408083831) and next prime (408083833).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408083831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1625707 + ... + 1625957.

Almost surely, 2^408083832 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 408083832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621122040).

408083832 is an abundant number, since it is smaller than the sum of its proper divisors (834160248).

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

408083832 is a wasteful number, since it uses less digits than its factorization.

408083832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 408083832 is about 20201.0849213600. The cubic root of 408083832 is about 741.7367485909.

The spelling of 408083832 in words is "four hundred eight million, eighty-three thousand, eight hundred thirty-two".