444472960 has 128 divisors (see below), whose sum is σ = 1101600000. Its totient is φ = 171405312.

The previous prime is 444472943. The next prime is 444472961. The reversal of 444472960 is 69274444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (444472961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2982966 + ... + 2983114.

It is an arithmetic number, because the mean of its divisors is an integer number (8606250).

Almost surely, 2^444472960 is an apocalyptic number.

444472960 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 444472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550800000).

444472960 is an abundant number, since it is smaller than the sum of its proper divisors (657127040).

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

444472960 is a wasteful number, since it uses less digits than its factorization.

444472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 444472960 is about 21082.5273627239. The cubic root of 444472960 is about 763.1591491011.

The spelling of 444472960 in words is "four hundred forty-four million, four hundred seventy-two thousand, nine hundred sixty".