444304465920 has 1008 divisors, whose sum is σ = 1860012056448. Its totient is φ = 101443829760.

The previous prime is 444304465919. The next prime is 444304466027. The reversal of 444304465920 is 29564403444.

It is a tau number, because it is divible by the number of its divisors (1008).

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 71 ways as a sum of consecutive naturals, for example, 487710265 + ... + 487711175.

It is an arithmetic number, because the mean of its divisors is an integer number (1845250056).

Almost surely, 2^444304465920 is an apocalyptic number.

444304465920 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 444304465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930006028224).

444304465920 is an abundant number, since it is smaller than the sum of its proper divisors (1415707590528).

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

444304465920 is an frugal number, since it uses more digits than its factorization.

444304465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 444304465920 in words is "four hundred forty-four billion, three hundred four million, four hundred sixty-five thousand, nine hundred twenty".