442302330 has 64 divisors (see below), whose sum is σ = 1120026240. Its totient is φ = 111476736.

The previous prime is 442302317. The next prime is 442302337. The reversal of 442302330 is 33203244.

It is a super-2 number, since 2×442302330² = 391262702246857800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442302297 and 442302306.

It is not an unprimeable number, because it can be changed into a prime (442302337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383034 + ... + 384186.

It is an arithmetic number, because the mean of its divisors is an integer number (17500410).

Almost surely, 2^442302330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442302330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560013120).

442302330 is an abundant number, since it is smaller than the sum of its proper divisors (677723910).

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

442302330 is a wasteful number, since it uses less digits than its factorization.

442302330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855.

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 442302330 is about 21030.9849983304. The cubic root of 442302330 is about 761.9147988590.

Adding to 442302330 its reverse (33203244), we get a palindrome (475505574).

The spelling of 442302330 in words is "four hundred forty-two million, three hundred two thousand, three hundred thirty".