444438960 has 160 divisors (see below), whose sum is σ = 1586898432. Its totient is φ = 100792320.

The previous prime is 444438947. The next prime is 444438977. The reversal of 444438960 is 69834444.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229195 + ... + 231125.

Almost surely, 2^444438960 is an apocalyptic number.

444438960 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 444438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793449216).

444438960 is an abundant number, since it is smaller than the sum of its proper divisors (1142459472).

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

444438960 is a wasteful number, since it uses less digits than its factorization.

444438960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 444438960 is about 21081.7209923668. The cubic root of 444438960 is about 763.1396892951.

The spelling of 444438960 in words is "four hundred forty-four million, four hundred thirty-eight thousand, nine hundred sixty".