409128880 has 20 divisors (see below), whose sum is σ = 951224832. Its totient is φ = 163651520.

The previous prime is 409128877. The next prime is 409128883. The reversal of 409128880 is 88821904.

It is an interprime number because it is at equal distance from previous prime (409128877) and next prime (409128883).

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (409128883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2556976 + ... + 2557135.

Almost surely, 2^409128880 is an apocalyptic number.

409128880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409128880 is an abundant number, since it is smaller than the sum of its proper divisors (542095952).

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

409128880 is a wasteful number, since it uses less digits than its factorization.

409128880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5114124 (or 5114118 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 40.

The square root of 409128880 is about 20226.9345181122. The cubic root of 409128880 is about 742.3693716772.

The spelling of 409128880 in words is "four hundred nine million, one hundred twenty-eight thousand, eight hundred eighty".