409128840 has 64 divisors (see below), whose sum is σ = 1363766400. Its totient is φ = 109100736.

The previous prime is 409128823. The next prime is 409128857. The reversal of 409128840 is 48821904.

It is an interprime number because it is at equal distance from previous prime (409128823) and next prime (409128857).

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

It is a junction number, because it is equal to n+sod(n) for n = 409128795 and 409128804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188332 + ... + 190491.

It is an arithmetic number, because the mean of its divisors is an integer number (21308850).

Almost surely, 2^409128840 is an apocalyptic number.

409128840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409128840 is an abundant number, since it is smaller than the sum of its proper divisors (954637560).

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

409128840 is a wasteful number, since it uses less digits than its factorization.

409128840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378843 (or 378833 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 409128840 is about 20226.9335293316. The cubic root of 409128840 is about 742.3693474837.

The spelling of 409128840 in words is "four hundred nine million, one hundred twenty-eight thousand, eight hundred forty".