441885960 has 96 divisors (see below), whose sum is σ = 1440181080. Its totient is φ = 117504000.

The previous prime is 441885953. The next prime is 441885973. The reversal of 441885960 is 69588144.

441885960 is a `hidden beast` number, since 44 + 18 + 8 + 596 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 430230564 + 11655396 = 20742^2 + 3414^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142830 + ... + 145890.

Almost surely, 2^441885960 is an apocalyptic number.

441885960 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 441885960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720090540).

441885960 is an abundant number, since it is smaller than the sum of its proper divisors (998295120).

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

441885960 is a wasteful number, since it uses less digits than its factorization.

441885960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3472 counting only the distinct ones).

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

The square root of 441885960 is about 21021.0837018456. The cubic root of 441885960 is about 761.6756426366.

The spelling of 441885960 in words is "four hundred forty-one million, eight hundred eighty-five thousand, nine hundred sixty".