409682880 has 112 divisors (see below), whose sum is σ = 1445300640. Its totient is φ = 109246464.

The previous prime is 409682873. The next prime is 409682899. The reversal of 409682880 is 88286904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15069 + ... + 32348.

It is an arithmetic number, because the mean of its divisors is an integer number (12904470).

Almost surely, 2^409682880 is an apocalyptic number.

409682880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409682880 is an abundant number, since it is smaller than the sum of its proper divisors (1035617760).

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

409682880 is a wasteful number, since it uses less digits than its factorization.

409682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47443 (or 47427 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 409682880 is about 20240.6244962946. The cubic root of 409682880 is about 742.7043004794.

The spelling of 409682880 in words is "four hundred nine million, six hundred eighty-two thousand, eight hundred eighty".