409440504 has 64 divisors (see below), whose sum is σ = 1121091840. Its totient is φ = 123580160.

The previous prime is 409440497. The next prime is 409440523. The reversal of 409440504 is 405044904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66484 + ... + 72380.

It is an arithmetic number, because the mean of its divisors is an integer number (17517060).

Almost surely, 2^409440504 is an apocalyptic number.

409440504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409440504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560545920).

409440504 is an abundant number, since it is smaller than the sum of its proper divisors (711651336).

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

409440504 is a wasteful number, since it uses less digits than its factorization.

409440504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6180 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 409440504 is about 20234.6362458039. The cubic root of 409440504 is about 742.5578057003.

The spelling of 409440504 in words is "four hundred nine million, four hundred forty thousand, five hundred four".