444155625 has 45 divisors (see below), whose sum is σ = 804554179. Its totient is φ = 236040000.

The previous prime is 444155611. The next prime is 444155629. The reversal of 444155625 is 526551444.

The square root of 444155625 is 21075.

It is a perfect power (a square), and thus also a powerful number.

444155625 is a `hidden beast` number, since 44 + 41 + 556 + 25 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 268009641 + 176145984 = 16371^2 + 13272^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 444155625 - 2⁷ = 444155497 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444155625.

It is not an unprimeable number, because it can be changed into a prime (444155629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1580485 + ... + 1580765.

Almost surely, 2^444155625 is an apocalyptic number.

444155625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

444155625 is the 21075-th square number.

444155625 is the 10538-th centered octagonal number.

It is an amenable number.

444155625 is a deficient number, since it is larger than the sum of its proper divisors (360398554).

444155625 is an frugal number, since it uses more digits than its factorization.

444155625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 289 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The cubic root of 444155625 is about 762.9774846821.

Multiplying 444155625 by its sum of digits (36), we get a square (15989602500 = 126450²).

The spelling of 444155625 in words is "four hundred forty-four million, one hundred fifty-five thousand, six hundred twenty-five".