444645125 has 16 divisors (see below), whose sum is σ = 584126400. Its totient is φ = 336992400.

The previous prime is 444645107. The next prime is 444645133. The reversal of 444645125 is 521546444.

It is not a de Polignac number, because 444645125 - 2¹⁶ = 444579589 is a prime.

It is a super-3 number, since 3×444645125³ (a number of 27 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91235 + ... + 95984.

It is an arithmetic number, because the mean of its divisors is an integer number (36507900).

Almost surely, 2^444645125 is an apocalyptic number.

It is an amenable number.

444645125 is a deficient number, since it is larger than the sum of its proper divisors (139481275).

444645125 is a wasteful number, since it uses less digits than its factorization.

444645125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187253 (or 187243 counting only the distinct ones).

The product of its digits is 76800, while the sum is 35.

The square root of 444645125 is about 21086.6100879207. The cubic root of 444645125 is about 763.2576720305.

The spelling of 444645125 in words is "four hundred forty-four million, six hundred forty-five thousand, one hundred twenty-five".