444336516 has 240 divisors, whose sum is σ = 1338720768. Its totient is φ = 127526400.

The previous prime is 444336509. The next prime is 444336569. The reversal of 444336516 is 615633444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5353411 + ... + 5353493.

Almost surely, 2^444336516 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 444336516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669360384).

444336516 is an abundant number, since it is smaller than the sum of its proper divisors (894384252).

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

444336516 is a wasteful number, since it uses less digits than its factorization.

444336516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 444336516 is about 21079.2911645529. The cubic root of 444336516 is about 763.0810497541.

The spelling of 444336516 in words is "four hundred forty-four million, three hundred thirty-six thousand, five hundred sixteen".