444466125 has 48 divisors (see below), whose sum is σ = 809683056. Its totient is φ = 234547200.

The previous prime is 444466097. The next prime is 444466133. The reversal of 444466125 is 521664444.

It can be written as a sum of positive squares in 8 ways, for example, as 253860489 + 190605636 = 15933^2 + 13806^2 .

It is not a de Polignac number, because 444466125 - 2¹⁰ = 444465101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 444466125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107089 + ... + 111161.

It is an arithmetic number, because the mean of its divisors is an integer number (16868397).

Almost surely, 2^444466125 is an apocalyptic number.

444466125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444466125 is a deficient number, since it is larger than the sum of its proper divisors (365216931).

444466125 is a wasteful number, since it uses less digits than its factorization.

444466125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4178 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 444466125 is about 21082.3652610422. The cubic root of 444466125 is about 763.1552371875.

The spelling of 444466125 in words is "four hundred forty-four million, four hundred sixty-six thousand, one hundred twenty-five".