442504220 has 48 divisors (see below), whose sum is σ = 985799808. Its totient is φ = 166272000.

The previous prime is 442504217. The next prime is 442504229. The reversal of 442504220 is 22405244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442504229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254474 + ... + 256206.

It is an arithmetic number, because the mean of its divisors is an integer number (20537496).

Almost surely, 2^442504220 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 442504220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492899904).

442504220 is an abundant number, since it is smaller than the sum of its proper divisors (543295588).

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

442504220 is a wasteful number, since it uses less digits than its factorization.

442504220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 442504220 is about 21035.7842734708. The cubic root of 442504220 is about 762.0307071943.

Adding to 442504220 its reverse (22405244), we get a palindrome (464909464).

The spelling of 442504220 in words is "four hundred forty-two million, five hundred four thousand, two hundred twenty".