444953136 has 80 divisors (see below), whose sum is σ = 1183924224. Its totient is φ = 143926272.

The previous prime is 444953129. The next prime is 444953167. The reversal of 444953136 is 631359444.

It is a junction number, because it is equal to n+sod(n) for n = 444953094 and 444953103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285736 + ... + 287288.

Almost surely, 2^444953136 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 444953136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591962112).

444953136 is an abundant number, since it is smaller than the sum of its proper divisors (738971088).

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

444953136 is a wasteful number, since it uses less digits than its factorization.

444953136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 444953136 is about 21093.9122971534. The cubic root of 444953136 is about 763.4338705934.

The spelling of 444953136 in words is "four hundred forty-four million, nine hundred fifty-three thousand, one hundred thirty-six".