409492960 has 48 divisors (see below), whose sum is σ = 968686992. Its totient is φ = 163584000.

The previous prime is 409492927. The next prime is 409493003. The reversal of 409492960 is 69294904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191095 + ... + 193225.

It is an arithmetic number, because the mean of its divisors is an integer number (20180979).

Almost surely, 2^409492960 is an apocalyptic number.

409492960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409492960 is an abundant number, since it is smaller than the sum of its proper divisors (559194032).

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

409492960 is a wasteful number, since it uses less digits than its factorization.

409492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 409492960 is about 20235.9323975941. The cubic root of 409492960 is about 742.5895155976.

The spelling of 409492960 in words is "four hundred nine million, four hundred ninety-two thousand, nine hundred sixty".