442314200 has 48 divisors (see below), whose sum is σ = 1061568960. Its totient is φ = 171216000.

The previous prime is 442314199. The next prime is 442314251. The reversal of 442314200 is 2413244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29471 + ... + 41870.

It is an arithmetic number, because the mean of its divisors is an integer number (22116020).

Almost surely, 2^442314200 is an apocalyptic number.

442314200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442314200 is an abundant number, since it is smaller than the sum of its proper divisors (619254760).

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

442314200 is a wasteful number, since it uses less digits than its factorization.

442314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71388 (or 71379 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 442314200 is about 21031.2671991014. The cubic root of 442314200 is about 761.9216145950.

Adding to 442314200 its reverse (2413244), we get a palindrome (444727444).

The spelling of 442314200 in words is "four hundred forty-two million, three hundred fourteen thousand, two hundred".