442250400 has 72 divisors (see below), whose sum is σ = 1439532864. Its totient is φ = 117932800.

The previous prime is 442250383. The next prime is 442250411. The reversal of 442250400 is 4052244.

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, 89736 + ... + 94535.

It is an arithmetic number, because the mean of its divisors is an integer number (19993512).

Almost surely, 2^442250400 is an apocalyptic number.

442250400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442250400 is an abundant number, since it is smaller than the sum of its proper divisors (997282464).

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

442250400 is a wasteful number, since it uses less digits than its factorization.

442250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184294 (or 184281 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 442250400 is about 21029.7503551516. The cubic root of 442250400 is about 761.8849792979.

The spelling of 442250400 in words is "four hundred forty-two million, two hundred fifty thousand, four hundred".