442137312 has 96 divisors (see below), whose sum is σ = 1293818400. Its totient is φ = 146893824.

The previous prime is 442137271. The next prime is 442137323. The reversal of 442137312 is 213731244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342364 + ... + 343652.

It is an arithmetic number, because the mean of its divisors is an integer number (13477275).

Almost surely, 2^442137312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442137312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646909200).

442137312 is an abundant number, since it is smaller than the sum of its proper divisors (851681088).

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

442137312 is a wasteful number, since it uses less digits than its factorization.

442137312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1691 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 442137312 is about 21027.0614209404. The cubic root of 442137312 is about 761.8200331395.

Adding to 442137312 its reverse (213731244), we get a palindrome (655868556).

The spelling of 442137312 in words is "four hundred forty-two million, one hundred thirty-seven thousand, three hundred twelve".