444550680 has 320 divisors, whose sum is σ = 1809656640. Its totient is φ = 95551488.

The previous prime is 444550669. The next prime is 444550747. The reversal of 444550680 is 86055444.

444550680 is a `hidden beast` number, since 4 + 44 + 550 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 384984 + ... + 386136.

It is an arithmetic number, because the mean of its divisors is an integer number (5655177).

Almost surely, 2^444550680 is an apocalyptic number.

444550680 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 444550680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904828320).

444550680 is an abundant number, since it is smaller than the sum of its proper divisors (1365105960).

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

444550680 is a wasteful number, since it uses less digits than its factorization.

444550680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 444550680 is about 21084.3705146727. The cubic root of 444550680 is about 763.2036282016.

The spelling of 444550680 in words is "four hundred forty-four million, five hundred fifty thousand, six hundred eighty".