409264680 has 64 divisors (see below), whose sum is σ = 1339416000. Its totient is φ = 99215360.

The previous prime is 409264679. The next prime is 409264717. The reversal of 409264680 is 86462904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153705 + ... + 156344.

It is an arithmetic number, because the mean of its divisors is an integer number (20928375).

Almost surely, 2^409264680 is an apocalyptic number.

409264680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409264680 is an abundant number, since it is smaller than the sum of its proper divisors (930151320).

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

409264680 is a wasteful number, since it uses less digits than its factorization.

409264680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310074 (or 310070 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 409264680 is about 20230.2911496597. The cubic root of 409264680 is about 742.4514995131.

The spelling of 409264680 in words is "four hundred nine million, two hundred sixty-four thousand, six hundred eighty".