409316920 has 32 divisors (see below), whose sum is σ = 921539520. Its totient is φ = 163624320.

The previous prime is 409316881. The next prime is 409316927. The reversal of 409316920 is 29613904.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409316927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120769 + ... + 124111.

It is an arithmetic number, because the mean of its divisors is an integer number (28798110).

Almost surely, 2^409316920 is an apocalyptic number.

409316920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409316920 is an abundant number, since it is smaller than the sum of its proper divisors (512222600).

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

409316920 is a wasteful number, since it uses less digits than its factorization.

409316920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6415 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 409316920 is about 20231.5822416340. The cubic root of 409316920 is about 742.4830878862.

The spelling of 409316920 in words is "four hundred nine million, three hundred sixteen thousand, nine hundred twenty".