444406725 has 108 divisors (see below), whose sum is σ = 935287236. Its totient is φ = 201116160.

The previous prime is 444406693. The next prime is 444406727. The reversal of 444406725 is 527604444.

It can be written as a sum of positive squares in 6 ways, for example, as 1640961 + 442765764 = 1281^2 + 21042^2 .

It is not a de Polignac number, because 444406725 - 2⁵ = 444406693 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 444406725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444406727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1907209 + ... + 1907441.

It is an arithmetic number, because the mean of its divisors is an integer number (8660067).

Almost surely, 2^444406725 is an apocalyptic number.

444406725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444406725 is an abundant number, since it is smaller than the sum of its proper divisors (490880511).

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

444406725 is a wasteful number, since it uses less digits than its factorization.

444406725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 444406725 is about 21080.9564536337. The cubic root of 444406725 is about 763.1212387655.

The spelling of 444406725 in words is "four hundred forty-four million, four hundred six thousand, seven hundred twenty-five".