409945560 has 64 divisors (see below), whose sum is σ = 1283316480. Its totient is φ = 104565120.

The previous prime is 409945553. The next prime is 409945573. The reversal of 409945560 is 65549904.

It is a happy number.

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, 71506 + ... + 77025.

It is an arithmetic number, because the mean of its divisors is an integer number (20051820).

Almost surely, 2^409945560 is an apocalyptic number.

409945560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409945560 is an abundant number, since it is smaller than the sum of its proper divisors (873370920).

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

409945560 is a wasteful number, since it uses less digits than its factorization.

409945560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148568 (or 148564 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 409945560 is about 20247.1123867084. The cubic root of 409945560 is about 742.8630019966.

The spelling of 409945560 in words is "four hundred nine million, nine hundred forty-five thousand, five hundred sixty".