441953125 has 16 divisors (see below), whose sum is σ = 552537648. Its totient is φ = 353500000.

The previous prime is 441953117. The next prime is 441953137. The reversal of 441953125 is 521359144.

It can be written as a sum of positive squares in 8 ways, for example, as 245925124 + 196028001 = 15682^2 + 14001^2 .

It is not a de Polignac number, because 441953125 - 2³ = 441953117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 75297 + ... + 80953.

It is an arithmetic number, because the mean of its divisors is an integer number (34533603).

Almost surely, 2^441953125 is an apocalyptic number.

It is an amenable number.

441953125 is a deficient number, since it is larger than the sum of its proper divisors (110584523).

441953125 is an frugal number, since it uses more digits than its factorization.

441953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5692 (or 5662 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 441953125 is about 21022.6812038807. The cubic root of 441953125 is about 761.7142312903.

The spelling of 441953125 in words is "four hundred forty-one million, nine hundred fifty-three thousand, one hundred twenty-five".