444973360 has 40 divisors (see below), whose sum is σ = 1114147440. Its totient is φ = 164297472.

The previous prime is 444973357. The next prime is 444973423. The reversal of 444973360 is 63379444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×444973360² = 396002582219379200, which contains 22 as substring.

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

It is an unprimeable number.

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, 212890 + ... + 214969.

It is an arithmetic number, because the mean of its divisors is an integer number (27853686).

Almost surely, 2^444973360 is an apocalyptic number.

444973360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444973360 is an abundant number, since it is smaller than the sum of its proper divisors (669174080).

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

444973360 is a wasteful number, since it uses less digits than its factorization.

444973360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427885 (or 427879 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 444973360 is about 21094.3916717217. The cubic root of 444973360 is about 763.4454369446.

The spelling of 444973360 in words is "four hundred forty-four million, nine hundred seventy-three thousand, three hundred sixty".