442442112 has 64 divisors (see below), whose sum is σ = 1343136000. Its totient is φ = 126411264.

The previous prime is 442442101. The next prime is 442442131. The reversal of 442442112 is 211244244.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79612 + ... + 84987.

It is an arithmetic number, because the mean of its divisors is an integer number (20986500).

Almost surely, 2^442442112 is an apocalyptic number.

442442112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442442112 is an abundant number, since it is smaller than the sum of its proper divisors (900693888).

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

442442112 is a wasteful number, since it uses less digits than its factorization.

442442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164623 (or 164611 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 442442112 is about 21034.3079753055. The cubic root of 442442112 is about 761.9950537358.

Adding to 442442112 its reverse (211244244), we get a palindrome (653686356).

The spelling of 442442112 in words is "four hundred forty-two million, four hundred forty-two thousand, one hundred twelve".