444956064 has 96 divisors (see below), whose sum is σ = 1362211200. Its totient is φ = 127120896.

The previous prime is 444956063. The next prime is 444956069. The reversal of 444956064 is 460659444.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (444956063) 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, 26172 + ... + 39684.

It is an arithmetic number, because the mean of its divisors is an integer number (14189700).

Almost surely, 2^444956064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681105600).

444956064 is an abundant number, since it is smaller than the sum of its proper divisors (917255136).

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

444956064 is a wasteful number, since it uses less digits than its factorization.

444956064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13547 (or 13525 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 444956064 is about 21093.9817009497. The cubic root of 444956064 is about 763.4355451739.

The spelling of 444956064 in words is "four hundred forty-four million, nine hundred fifty-six thousand, sixty-four".