441904320 has 672 divisors, whose sum is σ = 1897197120. Its totient is φ = 92897280.

The previous prime is 441904319. The next prime is 441904321. The reversal of 441904320 is 23409144.

441904320 is a `hidden beast` number, since 44 + 190 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (441904319) and next prime (441904321).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 962 × 638 × 720.

It is not an unprimeable number, because it can be changed into a prime (441904321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11943342 + ... + 11943378.

It is an arithmetic number, because the mean of its divisors is an integer number (2823210).

Almost surely, 2^441904320 is an apocalyptic number.

441904320 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 441904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948598560).

441904320 is an abundant number, since it is smaller than the sum of its proper divisors (1455292800).

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

441904320 is a wasteful number, since it uses less digits than its factorization.

441904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 441904320 is about 21021.5204017217. The cubic root of 441904320 is about 761.6861914904.

The spelling of 441904320 in words is "four hundred forty-one million, nine hundred four thousand, three hundred twenty".