442007253 has 16 divisors (see below), whose sum is σ = 655939200. Its totient is φ = 294170400.

The previous prime is 442007243. The next prime is 442007303. The reversal of 442007253 is 352700244.

It is not a de Polignac number, because 442007253 - 2¹² = 442003157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442007243) by changing a digit.

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, 2608 + ... + 29846.

It is an arithmetic number, because the mean of its divisors is an integer number (40996200).

Almost surely, 2^442007253 is an apocalyptic number.

It is an amenable number.

442007253 is a deficient number, since it is larger than the sum of its proper divisors (213931947).

442007253 is a wasteful number, since it uses less digits than its factorization.

442007253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27849 (or 27843 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 442007253 is about 21023.9685359354. The cubic root of 442007253 is about 761.7453268843.

Adding to 442007253 its reverse (352700244), we get a palindrome (794707497).

The spelling of 442007253 in words is "four hundred forty-two million, seven thousand, two hundred fifty-three".