442254800 has 60 divisors (see below), whose sum is σ = 1144262700. Its totient is φ = 163292160.

The previous prime is 442254781. The next prime is 442254803. The reversal of 442254800 is 8452244.

It can be written as a sum of positive squares in 6 ways, for example, as 51955264 + 390299536 = 7208^2 + 19756^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442254803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37325 + ... + 47724.

It is an arithmetic number, because the mean of its divisors is an integer number (19071045).

Almost surely, 2^442254800 is an apocalyptic number.

442254800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442254800 is an abundant number, since it is smaller than the sum of its proper divisors (702007900).

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

442254800 is a wasteful number, since it uses less digits than its factorization.

442254800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85080 (or 85069 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The square root of 442254800 is about 21029.8549685917. The cubic root of 442254800 is about 761.8875059832.

The spelling of 442254800 in words is "four hundred forty-two million, two hundred fifty-four thousand, eight hundred".