409536072 has 48 divisors (see below), whose sum is σ = 1209995280. Its totient is φ = 124101600.

The previous prime is 409536067. The next prime is 409536073. The reversal of 409536072 is 270635904.

409536072 is a `hidden beast` number, since 40 + 9 + 5 + 3 + 607 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (409536073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257754 + ... + 259337.

It is an arithmetic number, because the mean of its divisors is an integer number (25208235).

Almost surely, 2^409536072 is an apocalyptic number.

It is an amenable number.

409536072 is an abundant number, since it is smaller than the sum of its proper divisors (800459208).

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

409536072 is a wasteful number, since it uses less digits than its factorization.

409536072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517114 (or 517107 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 409536072 is about 20236.9976033996. The cubic root of 409536072 is about 742.6155749758.

The spelling of 409536072 in words is "four hundred nine million, five hundred thirty-six thousand, seventy-two".