444525640 has 64 divisors (see below), whose sum is σ = 1082113200. Its totient is φ = 163372032.

The previous prime is 444525617. The next prime is 444525643. The reversal of 444525640 is 46525444.

It can be written as a sum of positive squares in 8 ways, for example, as 230371684 + 214153956 = 15178^2 + 14634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 444525596 and 444525605.

It is not an unprimeable number, because it can be changed into a prime (444525643) 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, 117214 + ... + 120946.

Almost surely, 2^444525640 is an apocalyptic number.

444525640 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 444525640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541056600).

444525640 is an abundant number, since it is smaller than the sum of its proper divisors (637587560).

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

444525640 is a wasteful number, since it uses less digits than its factorization.

444525640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

The square root of 444525640 is about 21083.7767015305. The cubic root of 444525640 is about 763.1892983936.

The spelling of 444525640 in words is "four hundred forty-four million, five hundred twenty-five thousand, six hundred forty".