444674880 has 448 divisors, whose sum is σ = 1751258880. Its totient is φ = 105504768.

The previous prime is 444674861. The next prime is 444674903. The reversal of 444674880 is 88476444.

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 63 ways as a sum of consecutive naturals, for example, 4155787 + ... + 4155893.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060).

Almost surely, 2^444674880 is an apocalyptic number.

444674880 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 444674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

444674880 is an abundant number, since it is smaller than the sum of its proper divisors (1306584000).

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

444674880 is a wasteful number, since it uses less digits than its factorization.

444674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

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

The square root of 444674880 is about 21087.3156186367. The cubic root of 444674880 is about 763.2746970123.

The spelling of 444674880 in words is "four hundred forty-four million, six hundred seventy-four thousand, eight hundred eighty".