442132224 has 36 divisors (see below), whose sum is σ = 1176718536. Its totient is φ = 147377152.

The previous prime is 442132211. The next prime is 442132237. The reversal of 442132224 is 422231244.

It is an interprime number because it is at equal distance from previous prime (442132211) and next prime (442132237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442132194 and 442132203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 287079 + ... + 288614.

It is an arithmetic number, because the mean of its divisors is an integer number (32686626).

Almost surely, 2^442132224 is an apocalyptic number.

It is an amenable number.

442132224 is an abundant number, since it is smaller than the sum of its proper divisors (734586312).

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

442132224 is an equidigital number, since it uses as much as digits as its factorization.

442132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575712 (or 575698 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 442132224 is about 21026.9404336437. The cubic root of 442132224 is about 761.8171108533.

Adding to 442132224 its reverse (422231244), we get a palindrome (864363468).

The spelling of 442132224 in words is "four hundred forty-two million, one hundred thirty-two thousand, two hundred twenty-four".