444884880 has 160 divisors (see below), whose sum is σ = 1539901440. Its totient is φ = 105315840.

The previous prime is 444884873. The next prime is 444884899. The reversal of 444884880 is 88488444.

It is a happy number.

It is a super-2 number, since 2×444884880² = 395845112905228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111561 + ... + 115479.

It is an arithmetic number, because the mean of its divisors is an integer number (9624384).

Almost surely, 2^444884880 is an apocalyptic number.

444884880 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 444884880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

444884880 is an abundant number, since it is smaller than the sum of its proper divisors (1095016560).

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

444884880 is a wasteful number, since it uses less digits than its factorization.

444884880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 444884880 is about 21092.2943275500. The cubic root of 444884880 is about 763.3948315705.

The spelling of 444884880 in words is "four hundred forty-four million, eight hundred eighty-four thousand, eight hundred eighty".