409704960 has 160 divisors (see below), whose sum is σ = 1497082752. Its totient is φ = 93634560.

The previous prime is 409704943. The next prime is 409704979. The reversal of 409704960 is 69407904.

It is a tau number, because it is divible by the number of its divisors (160).

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, 49950 + ... + 57570.

Almost surely, 2^409704960 is an apocalyptic number.

409704960 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 409704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748541376).

409704960 is an abundant number, since it is smaller than the sum of its proper divisors (1087377792).

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

409704960 is an equidigital number, since it uses as much as digits as its factorization.

409704960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 409704960 is about 20241.1699266618. The cubic root of 409704960 is about 742.7176430078.

The spelling of 409704960 in words is "four hundred nine million, seven hundred four thousand, nine hundred sixty".