444479616 has 256 divisors, whose sum is σ = 1579776000. Its totient is φ = 120185856.

The previous prime is 444479593. The next prime is 444479621. The reversal of 444479616 is 616974444.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 459165 + ... + 460131.

It is an arithmetic number, because the mean of its divisors is an integer number (6171000).

Almost surely, 2^444479616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789888000).

444479616 is an abundant number, since it is smaller than the sum of its proper divisors (1135296384).

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

444479616 is a wasteful number, since it uses less digits than its factorization.

444479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 998 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 444479616 is about 21082.6852179697. The cubic root of 444479616 is about 763.1629585282.

The spelling of 444479616 in words is "four hundred forty-four million, four hundred seventy-nine thousand, six hundred sixteen".