442345200 has 480 divisors, whose sum is σ = 1700462592. Its totient is φ = 97152000.

The previous prime is 442345199. The next prime is 442345237. The reversal of 442345200 is 2543244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9411577 + ... + 9411623.

Almost surely, 2^442345200 is an apocalyptic number.

442345200 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 442345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850231296).

442345200 is an abundant number, since it is smaller than the sum of its proper divisors (1258117392).

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

442345200 is a wasteful number, since it uses less digits than its factorization.

442345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 442345200 is about 21032.0041841000. The cubic root of 442345200 is about 761.9394141730.

Adding to 442345200 its reverse (2543244), we get a palindrome (444888444).

The spelling of 442345200 in words is "four hundred forty-two million, three hundred forty-five thousand, two hundred".