409688032 has 96 divisors (see below), whose sum is σ = 968436000. Its totient is φ = 168542208.

The previous prime is 409688023. The next prime is 409688053. The reversal of 409688032 is 230886904.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 132844 + ... + 135892.

It is an arithmetic number, because the mean of its divisors is an integer number (10087875).

Almost surely, 2^409688032 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 409688032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484218000).

409688032 is an abundant number, since it is smaller than the sum of its proper divisors (558747968).

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

409688032 is a wasteful number, since it uses less digits than its factorization.

409688032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 409688032 is about 20240.7517646949. The cubic root of 409688032 is about 742.7074137789.

The spelling of 409688032 in words is "four hundred nine million, six hundred eighty-eight thousand, thirty-two".