442131516 has 36 divisors (see below), whose sum is σ = 1119506752. Its totient is φ = 147127104.

The previous prime is 442131511. The next prime is 442131533. The reversal of 442131516 is 615131244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 442131516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442131511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11736 + ... + 31968.

Almost surely, 2^442131516 is an apocalyptic number.

It is an amenable number.

442131516 is an abundant number, since it is smaller than the sum of its proper divisors (677375236).

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

442131516 is a wasteful number, since it uses less digits than its factorization.

442131516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20850 (or 20845 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 442131516 is about 21026.9235980920. The cubic root of 442131516 is about 761.8167042127.

It can be divided in two parts, 4421 and 31516, that added together give a cube (35937 = 33³).

The spelling of 442131516 in words is "four hundred forty-two million, one hundred thirty-one thousand, five hundred sixteen".