409315120 has 40 divisors (see below), whose sum is σ = 1007640864. Its totient is φ = 154094592.

The previous prime is 409315117. The next prime is 409315121. The reversal of 409315120 is 21513904.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×409315120² = 335077734921228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (409315121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 149124 + ... + 151843.

Almost surely, 2^409315120 is an apocalyptic number.

409315120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409315120 is an abundant number, since it is smaller than the sum of its proper divisors (598325744).

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

409315120 is a wasteful number, since it uses less digits than its factorization.

409315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300997 (or 300991 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 409315120 is about 20231.5377566808. The cubic root of 409315120 is about 742.4819995107.

The spelling of 409315120 in words is "four hundred nine million, three hundred fifteen thousand, one hundred twenty".