444613920 has 288 divisors, whose sum is σ = 1565246592. Its totient is φ = 105701376.

The previous prime is 444613901. The next prime is 444613921. The reversal of 444613920 is 29316444.

It is not an unprimeable number, because it can be changed into a prime (444613921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4316589 + ... + 4316691.

It is an arithmetic number, because the mean of its divisors is an integer number (5434884).

Almost surely, 2^444613920 is an apocalyptic number.

444613920 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 444613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782623296).

444613920 is an abundant number, since it is smaller than the sum of its proper divisors (1120632672).

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

444613920 is a wasteful number, since it uses less digits than its factorization.

444613920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 444613920 is about 21085.8701504112. The cubic root of 444613920 is about 763.2398165832.

The spelling of 444613920 in words is "four hundred forty-four million, six hundred thirteen thousand, nine hundred twenty".