444900680 has 32 divisors (see below), whose sum is σ = 1144031040. Its totient is φ = 152537280.

The previous prime is 444900653. The next prime is 444900689. The reversal of 444900680 is 86009444.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 444900680.

It is not an unprimeable number, because it can be changed into a prime (444900689) 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 7 ways as a sum of consecutive naturals, for example, 794186 + ... + 794745.

It is an arithmetic number, because the mean of its divisors is an integer number (35750970).

Almost surely, 2^444900680 is an apocalyptic number.

444900680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444900680 is an abundant number, since it is smaller than the sum of its proper divisors (699130360).

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

444900680 is a wasteful number, since it uses less digits than its factorization.

444900680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588949 (or 1588945 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 444900680 is about 21092.6688685903. The cubic root of 444900680 is about 763.4038687365.

The spelling of 444900680 in words is "four hundred forty-four million, nine hundred thousand, six hundred eighty".