444956680 has 64 divisors (see below), whose sum is σ = 1147870080. Its totient is φ = 152064000.

The previous prime is 444956663. The next prime is 444956717. The reversal of 444956680 is 86659444.

It is a self number, because there is not a number n which added to its sum of digits gives 444956680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90280 + ... + 95080.

It is an arithmetic number, because the mean of its divisors is an integer number (17935470).

Almost surely, 2^444956680 is an apocalyptic number.

444956680 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 444956680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573935040).

444956680 is an abundant number, since it is smaller than the sum of its proper divisors (702913400).

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

444956680 is a wasteful number, since it uses less digits than its factorization.

444956680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The square root of 444956680 is about 21093.9963022657. The cubic root of 444956680 is about 763.4358974754.

The spelling of 444956680 in words is "four hundred forty-four million, nine hundred fifty-six thousand, six hundred eighty".