444992680 has 128 divisors (see below), whose sum is σ = 1185528960. Its totient is φ = 148480000.

The previous prime is 444992677. The next prime is 444992687. The reversal of 444992680 is 86299444.

It is a self number, because there is not a number n which added to its sum of digits gives 444992680.

It is not an unprimeable number, because it can be changed into a prime (444992687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305955 + ... + 307405.

It is an arithmetic number, because the mean of its divisors is an integer number (9261945).

Almost surely, 2^444992680 is an apocalyptic number.

444992680 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 444992680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592764480).

444992680 is an abundant number, since it is smaller than the sum of its proper divisors (740536280).

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

444992680 is a wasteful number, since it uses less digits than its factorization.

444992680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 444992680 is about 21094.8496083760. The cubic root of 444992680 is about 763.4564859599.

The spelling of 444992680 in words is "four hundred forty-four million, nine hundred ninety-two thousand, six hundred eighty".