444487680 has 576 divisors, whose sum is σ = 1931791680. Its totient is φ = 92012544.

The previous prime is 444487679. The next prime is 444487699. The reversal of 444487680 is 86784444.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8386534 + ... + 8386586.

It is an arithmetic number, because the mean of its divisors is an integer number (3353805).

Almost surely, 2^444487680 is an apocalyptic number.

444487680 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 444487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965895840).

444487680 is an abundant number, since it is smaller than the sum of its proper divisors (1487304000).

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

444487680 is a wasteful number, since it uses less digits than its factorization.

444487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 444487680 is about 21082.8764640881. The cubic root of 444487680 is about 763.1675737446.

The spelling of 444487680 in words is "four hundred forty-four million, four hundred eighty-seven thousand, six hundred eighty".