441708960 has 768 divisors, whose sum is σ = 1985679360. Its totient is φ = 79626240.

The previous prime is 441708959. The next prime is 441708983. The reversal of 441708960 is 69807144.

It is a happy number.

It is a super-4 number, since 4×441708960⁴ (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11938062 + ... + 11938098.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^441708960 is an apocalyptic number.

441708960 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 441708960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992839680).

441708960 is an abundant number, since it is smaller than the sum of its proper divisors (1543970400).

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

441708960 is a wasteful number, since it uses less digits than its factorization.

441708960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 441708960 is about 21016.8732212953. The cubic root of 441708960 is about 761.5739311805.

The spelling of 441708960 in words is "four hundred forty-one million, seven hundred eight thousand, nine hundred sixty".