444955680 has 480 divisors, whose sum is σ = 1792929600. Its totient is φ = 103016448.

The previous prime is 444955633. The next prime is 444955697. The reversal of 444955680 is 86559444.

444955680 is a `hidden beast` number, since 44 + 49 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3201051 + ... + 3201189.

It is an arithmetic number, because the mean of its divisors is an integer number (3735270).

Almost surely, 2^444955680 is an apocalyptic number.

444955680 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 444955680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896464800).

444955680 is an abundant number, since it is smaller than the sum of its proper divisors (1347973920).

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

444955680 is a wasteful number, since it uses less digits than its factorization.

444955680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 444955680 is about 21093.9725988255. The cubic root of 444955680 is about 763.4353255572.

The spelling of 444955680 in words is "four hundred forty-four million, nine hundred fifty-five thousand, six hundred eighty".