444948516 has 18 divisors (see below), whose sum is σ = 1124731062. Its totient is φ = 148316160.

The previous prime is 444948473. The next prime is 444948521. The reversal of 444948516 is 615849444.

444948516 is a `hidden beast` number, since 4 + 44 + 94 + 8 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 388247616 + 56700900 = 19704^2 + 7530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6179805 + ... + 6179876.

It is an arithmetic number, because the mean of its divisors is an integer number (62485059).

Almost surely, 2^444948516 is an apocalyptic number.

It is an amenable number.

444948516 is an abundant number, since it is smaller than the sum of its proper divisors (679782546).

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

444948516 is a wasteful number, since it uses less digits than its factorization.

444948516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12359691 (or 12359686 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 444948516 is about 21093.8027866006. The cubic root of 444948516 is about 763.4312283102.

The spelling of 444948516 in words is "four hundred forty-four million, nine hundred forty-eight thousand, five hundred sixteen".