442402224 has 80 divisors (see below), whose sum is σ = 1258371840. Its totient is φ = 132814080.

The previous prime is 442402199. The next prime is 442402241. The reversal of 442402224 is 422204244.

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

It is a junction number, because it is equal to n+sod(n) for n = 442402194 and 442402203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53709 + ... + 61395.

It is an arithmetic number, because the mean of its divisors is an integer number (15729648).

Almost surely, 2^442402224 is an apocalyptic number.

442402224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629185920).

442402224 is an abundant number, since it is smaller than the sum of its proper divisors (815969616).

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

442402224 is a wasteful number, since it uses less digits than its factorization.

442402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7818 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442402224 is about 21033.3597886786. The cubic root of 442402224 is about 761.9721540379.

Adding to 442402224 its reverse (422204244), we get a palindrome (864606468).

It can be divided in two parts, 44240 and 2224, that added together give a palindrome (46464).

The spelling of 442402224 in words is "four hundred forty-two million, four hundred two thousand, two hundred twenty-four".