441956088 has 240 divisors, whose sum is σ = 1489752000. Its totient is φ = 121927680.

The previous prime is 441956071. The next prime is 441956129. The reversal of 441956088 is 880659144.

441956088 is a `hidden beast` number, since 4 + 4 + 1 + 9 + 560 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 984088 + ... + 984536.

It is an arithmetic number, because the mean of its divisors is an integer number (6207300).

Almost surely, 2^441956088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441956088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744876000).

441956088 is an abundant number, since it is smaller than the sum of its proper divisors (1047795912).

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

441956088 is a wasteful number, since it uses less digits than its factorization.

441956088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 441956088 is about 21022.7516752684. The cubic root of 441956088 is about 761.7159335479.

The spelling of 441956088 in words is "four hundred forty-one million, nine hundred fifty-six thousand, eighty-eight".