444770144 has 144 divisors (see below), whose sum is σ = 1121541120. Its totient is φ = 169827840.

The previous prime is 444770101. The next prime is 444770153. The reversal of 444770144 is 441077444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173347 + ... + 1173725.

It is an arithmetic number, because the mean of its divisors is an integer number (7788480).

Almost surely, 2^444770144 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 444770144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560770560).

444770144 is an abundant number, since it is smaller than the sum of its proper divisors (676770976).

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

444770144 is a wasteful number, since it uses less digits than its factorization.

444770144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 35.

The square root of 444770144 is about 21089.5742963200. The cubic root of 444770144 is about 763.3291993106.

The spelling of 444770144 in words is "four hundred forty-four million, seven hundred seventy thousand, one hundred forty-four".