442041200 has 120 divisors (see below), whose sum is σ = 1120910400. Its totient is φ = 167265280.

The previous prime is 442041199. The next prime is 442041203. The reversal of 442041200 is 2140244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442041203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614441 + ... + 615159.

It is an arithmetic number, because the mean of its divisors is an integer number (9340920).

Almost surely, 2^442041200 is an apocalyptic number.

442041200 is a gapful number since it is divisible by the number (40) 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 442041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560455200).

442041200 is an abundant number, since it is smaller than the sum of its proper divisors (678869200).

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

442041200 is a wasteful number, since it uses less digits than its factorization.

442041200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 442041200 is about 21024.7758608742. The cubic root of 442041200 is about 761.7648275497.

Adding to 442041200 its reverse (2140244), we get a palindrome (444181444).

The spelling of 442041200 in words is "four hundred forty-two million, forty-one thousand, two hundred".