442020300 has 72 divisors (see below), whose sum is σ = 1282584576. Its totient is φ = 117533760.

The previous prime is 442020283. The next prime is 442020323. The reversal of 442020300 is 3020244.

It is a happy number.

It is a super-2 number, since 2×442020300² = 390763891224180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 442020300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112977 + ... + 116823.

Almost surely, 2^442020300 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 442020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641292288).

442020300 is an abundant number, since it is smaller than the sum of its proper divisors (840564276).

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

442020300 is a wasteful number, since it uses less digits than its factorization.

442020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 442020300 is about 21024.2788223520. The cubic root of 442020300 is about 761.7528217790.

Adding to 442020300 its reverse (3020244), we get a palindrome (445040544).

The spelling of 442020300 in words is "four hundred forty-two million, twenty thousand, three hundred".