444528760 has 64 divisors (see below), whose sum is σ = 1083307680. Its totient is φ = 163192320.

The previous prime is 444528757. The next prime is 444528761. The reversal of 444528760 is 67825444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444528761) 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, 91759 + ... + 96481.

Almost surely, 2^444528760 is an apocalyptic number.

444528760 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 444528760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541653840).

444528760 is an abundant number, since it is smaller than the sum of its proper divisors (638778920).

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

444528760 is a wasteful number, since it uses less digits than its factorization.

444528760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 444528760 is about 21083.8506919396. The cubic root of 444528760 is about 763.1910839262.

The spelling of 444528760 in words is "four hundred forty-four million, five hundred twenty-eight thousand, seven hundred sixty".