442338057225 has 81 divisors (see below), whose sum is σ = 802025526549. Its totient is φ = 233045784000.

The previous prime is 442338057211. The next prime is 442338057263. The reversal of 442338057225 is 522750833244.

The square root of 442338057225 is 665085.

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

442338057225 is a `hidden beast` number, since 4 + 4 + 23 + 38 + 0 + 572 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81675352521 + 360662704704 = 285789^2 + 600552^2 .

It is not a de Polignac number, because 442338057225 - 2¹¹ = 442338055177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1007603556 + ... + 1007603994.

Almost surely, 2^442338057225 is an apocalyptic number.

442338057225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442338057225 is the 665085-th square number.

442338057225 is the 332543-rd centered octagonal number.

It is an amenable number.

442338057225 is a deficient number, since it is larger than the sum of its proper divisors (359687469324).

442338057225 is an equidigital number, since it uses as much as digits as its factorization.

442338057225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 442338057225 in words is "four hundred forty-two billion, three hundred thirty-eight million, fifty-seven thousand, two hundred twenty-five".