442231400 has 96 divisors (see below), whose sum is σ = 1137453240. Its totient is φ = 158837760.

The previous prime is 442231369. The next prime is 442231457. The reversal of 442231400 is 4132244.

It can be written as a sum of positive squares in 12 ways, for example, as 306916 + 441924484 = 554^2 + 21022^2 .

It is a super-2 number, since 2×442231400² = 391137222291920000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93902 + ... + 98498.

Almost surely, 2^442231400 is an apocalyptic number.

442231400 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 442231400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568726620).

442231400 is an abundant number, since it is smaller than the sum of its proper divisors (695221840).

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

442231400 is a wasteful number, since it uses less digits than its factorization.

442231400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4654 counting only the distinct ones).

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

The square root of 442231400 is about 21029.2986093212. The cubic root of 442231400 is about 761.8740684188.

Adding to 442231400 its reverse (4132244), we get a palindrome (446363644).

The spelling of 442231400 in words is "four hundred forty-two million, two hundred thirty-one thousand, four hundred".