444086160 has 160 divisors (see below), whose sum is σ = 1624276992. Its totient is φ = 98219520.

The previous prime is 444086143. The next prime is 444086171. The reversal of 444086160 is 61680444.

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, 47817 + ... + 56343.

Almost surely, 2^444086160 is an apocalyptic number.

444086160 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 444086160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812138496).

444086160 is an abundant number, since it is smaller than the sum of its proper divisors (1180190832).

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

444086160 is a wasteful number, since it uses less digits than its factorization.

444086160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581 (or 8575 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 444086160 is about 21073.3518928527. The cubic root of 444086160 is about 762.9377065868.

The spelling of 444086160 in words is "four hundred forty-four million, eighty-six thousand, one hundred sixty".