441925800625 has 15 divisors (see below), whose sum is σ = 552251248813. Its totient is φ = 353527345000.

The previous prime is 441925800599. The next prime is 441925800647. The reversal of 441925800625 is 526008529144.

The square root of 441925800625 is 664775.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 34646982769 + 407278817856 = 186137^2 + 638184^2 .

It is not a de Polignac number, because 441925800625 - 2²³ = 441917412017 is a prime.

It is a super-4 number, since 4×441925800625⁴ (a number of 48 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16606080 + ... + 16632670.

Almost surely, 2^441925800625 is an apocalyptic number.

441925800625 is the 664775-th square number.

441925800625 is the 332388-th centered octagonal number.

It is an amenable number.

441925800625 is a deficient number, since it is larger than the sum of its proper divisors (110325448188).

441925800625 is an frugal number, since it uses more digits than its factorization.

441925800625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53202 (or 26596 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 441925800625 in words is "four hundred forty-one billion, nine hundred twenty-five million, eight hundred thousand, six hundred twenty-five".