442053252 has 72 divisors (see below), whose sum is σ = 1152322080. Its totient is φ = 142819200.

The previous prime is 442053247. The next prime is 442053253. The reversal of 442053252 is 252350244.

It is a happy number.

It is a super-2 number, since 2×442053252² = 390822155207551008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442053253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153627 + ... + 156477.

Almost surely, 2^442053252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442053252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576161040).

442053252 is an abundant number, since it is smaller than the sum of its proper divisors (710268828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442053252 is a wasteful number, since it uses less digits than its factorization.

442053252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 442053252 is about 21025.0624731533. The cubic root of 442053252 is about 761.7717505139.

The spelling of 442053252 in words is "four hundred forty-two million, fifty-three thousand, two hundred fifty-two".