444252160 has 240 divisors, whose sum is σ = 1273980960. Its totient is φ = 146800640.

The previous prime is 444252121. The next prime is 444252161. The reversal of 444252160 is 61252444.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (444252161) 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, 15319026 + ... + 15319054.

It is an arithmetic number, because the mean of its divisors is an integer number (5308254).

Almost surely, 2^444252160 is an apocalyptic number.

444252160 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 444252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636990480).

444252160 is an abundant number, since it is smaller than the sum of its proper divisors (829728800).

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

444252160 is a wasteful number, since it uses less digits than its factorization.

444252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 444252160 is about 21077.2901484038. The cubic root of 444252160 is about 763.0327571225.

The spelling of 444252160 in words is "four hundred forty-four million, two hundred fifty-two thousand, one hundred sixty".