408744960 has 352 divisors, whose sum is σ = 1485630720. Its totient is φ = 95158272.

The previous prime is 408744953. The next prime is 408744997. The reversal of 408744960 is 69447804.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4592596 + ... + 4592684.

Almost surely, 2^408744960 is an apocalyptic number.

408744960 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 408744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742815360).

408744960 is an abundant number, since it is smaller than the sum of its proper divisors (1076885760).

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

408744960 is a wasteful number, since it uses less digits than its factorization.

408744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 408744960 is about 20217.4419746911. The cubic root of 408744960 is about 742.1370898223.

The spelling of 408744960 in words is "four hundred eight million, seven hundred forty-four thousand, nine hundred sixty".