444788172 has 72 divisors (see below), whose sum is σ = 1194512592. Its totient is φ = 144633600.

The previous prime is 444788161. The next prime is 444788189. The reversal of 444788172 is 271887444.

444788172 is a `hidden beast` number, since 4 + 4 + 478 + 8 + 172 = 666.

It is a super-2 number, since 2×444788172² = 395673035902203168, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34272 + ... + 45432.

Almost surely, 2^444788172 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 444788172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597256296).

444788172 is an abundant number, since it is smaller than the sum of its proper divisors (749724420).

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

444788172 is a wasteful number, since it uses less digits than its factorization.

444788172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11221 (or 11207 counting only the distinct ones).

The product of its digits is 401408, while the sum is 45.

The square root of 444788172 is about 21090.0017069701. The cubic root of 444788172 is about 763.3395125875.

It can be divided in two parts, 44478 and 8172, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 444788172 in words is "four hundred forty-four million, seven hundred eighty-eight thousand, one hundred seventy-two".