409128264 has 48 divisors (see below), whose sum is σ = 1124607120. Its totient is φ = 134339040.

The previous prime is 409128263. The next prime is 409128329. The reversal of 409128264 is 462821904.

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 (409128263) 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, 37582 + ... + 47229.

It is an arithmetic number, because the mean of its divisors is an integer number (23429315).

Almost surely, 2^409128264 is an apocalyptic number.

It is an amenable number.

409128264 is an abundant number, since it is smaller than the sum of its proper divisors (715478856).

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

409128264 is a wasteful number, since it uses less digits than its factorization.

409128264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84890 (or 84883 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 409128264 is about 20226.9192908856. The cubic root of 409128264 is about 742.3689990972.

The spelling of 409128264 in words is "four hundred nine million, one hundred twenty-eight thousand, two hundred sixty-four".