444375672 has 64 divisors (see below), whose sum is σ = 1200437280. Its totient is φ = 136269312.

The previous prime is 444375649. The next prime is 444375677. The reversal of 444375672 is 276573444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444375677) 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, 96658 + ... + 101150.

Almost surely, 2^444375672 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 444375672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600218640).

444375672 is an abundant number, since it is smaller than the sum of its proper divisors (756061608).

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

444375672 is a wasteful number, since it uses less digits than its factorization.

444375672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4828 counting only the distinct ones).

The product of its digits is 564480, while the sum is 42.

The square root of 444375672 is about 21080.2199229515. The cubic root of 444375672 is about 763.1034639401.

The spelling of 444375672 in words is "four hundred forty-four million, three hundred seventy-five thousand, six hundred seventy-two".