409656960 has 256 divisors, whose sum is σ = 1469779200. Its totient is φ = 107827200.

The previous prime is 409656959. The next prime is 409656977. The reversal of 409656960 is 69656904.

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

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 31 ways as a sum of consecutive naturals, for example, 2609202 + ... + 2609358.

It is an arithmetic number, because the mean of its divisors is an integer number (5741325).

Almost surely, 2^409656960 is an apocalyptic number.

409656960 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 409656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734889600).

409656960 is an abundant number, since it is smaller than the sum of its proper divisors (1060122240).

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

409656960 is a wasteful number, since it uses less digits than its factorization.

409656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 409656960 is about 20239.9841897171. The cubic root of 409656960 is about 742.6886368996.

The spelling of 409656960 in words is "four hundred nine million, six hundred fifty-six thousand, nine hundred sixty".