442524516 has 96 divisors (see below), whose sum is σ = 1249920000. Its totient is φ = 119035008.

The previous prime is 442524493. The next prime is 442524517. The reversal of 442524516 is 615425244.

It is a super-2 number, since 2×442524516² = 391655894522068512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442524517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284910 + ... + 286458.

It is an arithmetic number, because the mean of its divisors is an integer number (13020000).

Almost surely, 2^442524516 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 442524516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960000).

442524516 is an abundant number, since it is smaller than the sum of its proper divisors (807395484).

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

442524516 is a wasteful number, since it uses less digits than its factorization.

442524516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1759 counting only the distinct ones).

The product of its digits is 38400, while the sum is 33.

The square root of 442524516 is about 21036.2666839912. The cubic root of 442524516 is about 762.0423575079.

The spelling of 442524516 in words is "four hundred forty-two million, five hundred twenty-four thousand, five hundred sixteen".