444513960 has 512 divisors, whose sum is σ = 1791590400. Its totient is φ = 96768000.

The previous prime is 444513947. The next prime is 444513973. The reversal of 444513960 is 69315444.

It is an interprime number because it is at equal distance from previous prime (444513947) and next prime (444513973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6260725 + ... + 6260795.

It is an arithmetic number, because the mean of its divisors is an integer number (3499200).

Almost surely, 2^444513960 is an apocalyptic number.

444513960 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 444513960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895795200).

444513960 is an abundant number, since it is smaller than the sum of its proper divisors (1347076440).

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

444513960 is a wasteful number, since it uses less digits than its factorization.

444513960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 444513960 is about 21083.4997094885. The cubic root of 444513960 is about 763.1826140179.

The spelling of 444513960 in words is "four hundred forty-four million, five hundred thirteen thousand, nine hundred sixty".