444493760 has 56 divisors (see below), whose sum is σ = 1066281840. Its totient is φ = 176482304.

The previous prime is 444493757. The next prime is 444493799. The reversal of 444493760 is 67394444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38771 + ... + 48909.

Almost surely, 2^444493760 is an apocalyptic number.

444493760 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 444493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533140920).

444493760 is an abundant number, since it is smaller than the sum of its proper divisors (621788080).

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

444493760 is a wasteful number, since it uses less digits than its factorization.

444493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10293 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The square root of 444493760 is about 21083.0206564429. The cubic root of 444493760 is about 763.1710534344.

The spelling of 444493760 in words is "four hundred forty-four million, four hundred ninety-three thousand, seven hundred sixty".