409568280 has 128 divisors (see below), whose sum is σ = 1383782400. Its totient is φ = 96076800.

The previous prime is 409568261. The next prime is 409568303. The reversal of 409568280 is 82865904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35916 + ... + 45924.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2^409568280 is an apocalyptic number.

409568280 is a gapful number since it is divisible by the number (40) 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 409568280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

409568280 is an abundant number, since it is smaller than the sum of its proper divisors (974214120).

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

409568280 is a wasteful number, since it uses less digits than its factorization.

409568280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10065 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 409568280 is about 20237.7933579726. The cubic root of 409568280 is about 742.6350421543.

The spelling of 409568280 in words is "four hundred nine million, five hundred sixty-eight thousand, two hundred eighty".