444918456 has 48 divisors (see below), whose sum is σ = 1211333760. Its totient is φ = 147525120.

The previous prime is 444918437. The next prime is 444918473. The reversal of 444918456 is 654819444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2425 + ... + 29928.

It is an arithmetic number, because the mean of its divisors is an integer number (25236120).

Almost surely, 2^444918456 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 444918456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605666880).

444918456 is an abundant number, since it is smaller than the sum of its proper divisors (766415304).

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

444918456 is a wasteful number, since it uses less digits than its factorization.

444918456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32556 (or 32549 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 444918456 is about 21093.0902430156. The cubic root of 444918456 is about 763.4140358645.

The spelling of 444918456 in words is "four hundred forty-four million, nine hundred eighteen thousand, four hundred fifty-six".