442441400 has 48 divisors (see below), whose sum is σ = 1064161800. Its totient is φ = 170871680.

The previous prime is 442441327. The next prime is 442441453. The reversal of 442441400 is 4144244.

It is a super-3 number, since 3×442441400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32342 + ... + 43941.

Almost surely, 2^442441400 is an apocalyptic number.

442441400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442441400 is an abundant number, since it is smaller than the sum of its proper divisors (621720400).

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

442441400 is a wasteful number, since it uses less digits than its factorization.

442441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76328 (or 76319 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 442441400 is about 21034.2910505679. The cubic root of 442441400 is about 761.9946449887.

Adding to 442441400 its reverse (4144244), we get a palindrome (446585644).

The spelling of 442441400 in words is "four hundred forty-two million, four hundred forty-one thousand, four hundred".