442512 has 60 divisors (see below), whose sum is σ = 1418560. Its totient is φ = 126144.

The previous prime is 442501. The next prime is 442517. The reversal of 442512 is 215244.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442512.

It is not an unprimeable number, because it can be changed into a prime (442517) by changing a digit.

442512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 789 + ... + 1227.

2⁴⁴²⁵¹² is an apocalyptic number.

442512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709280).

442512 is an abundant number, since it is smaller than the sum of its proper divisors (976048).

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

442512 is a wasteful number, since it uses less digits than its factorization.

442512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 451 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 442512 is about 665.2157544737. The cubic root of 442512 is about 76.2035173113.

Adding to 442512 its reverse (215244), we get a palindrome (657756).

It can be divided in two parts, 44251 and 2, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 442512 in words is "four hundred forty-two thousand, five hundred twelve".