409498128 has 60 divisors (see below), whose sum is σ = 1234187500. Its totient is φ = 125998848.

The previous prime is 409498097. The next prime is 409498139. The reversal of 409498128 is 821894904.

It can be written as a sum of positive squares in 2 ways, for example, as 152473104 + 257025024 = 12348^2 + 16032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107503 + ... + 111246.

Almost surely, 2^409498128 is an apocalyptic number.

409498128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409498128 is an abundant number, since it is smaller than the sum of its proper divisors (824689372).

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

409498128 is a wasteful number, since it uses less digits than its factorization.

409498128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218776 (or 218767 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 409498128 is about 20236.0600908378. The cubic root of 409498128 is about 742.5926395312.

The spelling of 409498128 in words is "four hundred nine million, four hundred ninety-eight thousand, one hundred twenty-eight".