440760960 has 256 divisors, whose sum is σ = 1630368000. Its totient is φ = 112324608.

The previous prime is 440760949. The next prime is 440760961. The reversal of 440760960 is 69067044.

440760960 is a `hidden beast` number, since 4 + 40 + 7 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (440760961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396886 + ... + 397994.

It is an arithmetic number, because the mean of its divisors is an integer number (6368625).

Almost surely, 2^440760960 is an apocalyptic number.

440760960 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 440760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815184000).

440760960 is an abundant number, since it is smaller than the sum of its proper divisors (1189607040).

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

440760960 is a wasteful number, since it uses less digits than its factorization.

440760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 440760960 is about 20994.3077999728. The cubic root of 440760960 is about 761.0287085188.

The spelling of 440760960 in words is "four hundred forty million, seven hundred sixty thousand, nine hundred sixty".