441253125 has 72 divisors (see below), whose sum is σ = 825650280. Its totient is φ = 226800000.

The previous prime is 441253081. The next prime is 441253147. The reversal of 441253125 is 521352144.

It can be written as a sum of positive squares in 12 ways, for example, as 441252036 + 1089 = 21006^2 + 33^2 .

It is not a de Polignac number, because 441253125 - 2⁸ = 441252869 is a prime.

It is a super-3 number, since 3×441253125³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 815355 + ... + 815895.

It is an arithmetic number, because the mean of its divisors is an integer number (11467365).

Almost surely, 2^441253125 is an apocalyptic number.

441253125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441253125 is a deficient number, since it is larger than the sum of its proper divisors (384397155).

441253125 is an equidigital number, since it uses as much as digits as its factorization.

441253125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 578 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 441253125 is about 21006.0259211494. The cubic root of 441253125 is about 761.3118645477.

The spelling of 441253125 in words is "four hundred forty-one million, two hundred fifty-three thousand, one hundred twenty-five".