442365625 has 24 divisors (see below), whose sum is σ = 595508760. Its totient is φ = 326640000.

The previous prime is 442365611. The next prime is 442365643. The reversal of 442365625 is 526563244.

It can be written as a sum of positive squares in 12 ways, for example, as 354531241 + 87834384 = 18829^2 + 9372^2 .

It is not a de Polignac number, because 442365625 - 2¹⁵ = 442332857 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 35181 + ... + 46069.

It is an arithmetic number, because the mean of its divisors is an integer number (24812865).

Almost surely, 2^442365625 is an apocalyptic number.

It is an amenable number.

442365625 is a deficient number, since it is larger than the sum of its proper divisors (153143135).

442365625 is an equidigital number, since it uses as much as digits as its factorization.

442365625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927 (or 10907 counting only the distinct ones).

The product of its digits is 172800, while the sum is 37.

The square root of 442365625 is about 21032.4897480065. The cubic root of 442365625 is about 761.9511413437.

The spelling of 442365625 in words is "four hundred forty-two million, three hundred sixty-five thousand, six hundred twenty-five".