442145952 has 120 divisors (see below), whose sum is σ = 1330914816. Its totient is φ = 143918208.

The previous prime is 442145939. The next prime is 442145953. The reversal of 442145952 is 259541244.

It is a happy number.

442145952 is a `hidden beast` number, since 44 + 21 + 4 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (442145953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109473 + ... + 113439.

Almost surely, 2^442145952 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 442145952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665457408).

442145952 is an abundant number, since it is smaller than the sum of its proper divisors (888768864).

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

442145952 is a wasteful number, since it uses less digits than its factorization.

442145952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4015 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 442145952 is about 21027.2668694721. The cubic root of 442145952 is about 761.8249954608.

The spelling of 442145952 in words is "four hundred forty-two million, one hundred forty-five thousand, nine hundred fifty-two".