442746132 has 72 divisors (see below), whose sum is σ = 1126725600. Its totient is φ = 134934912.

The previous prime is 442746127. The next prime is 442746137. The reversal of 442746132 is 231647244.

It is an interprime number because it is at equal distance from previous prime (442746127) and next prime (442746137).

It is a super-2 number, since 2×442746132² = 392048274801922848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442746093 and 442746102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442746137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190594 + ... + 192902.

Almost surely, 2^442746132 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 442746132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563362800).

442746132 is an abundant number, since it is smaller than the sum of its proper divisors (683979468).

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

442746132 is a wasteful number, since it uses less digits than its factorization.

442746132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2362 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 442746132 is about 21041.5334992486. The cubic root of 442746132 is about 762.1695463898.

The spelling of 442746132 in words is "four hundred forty-two million, seven hundred forty-six thousand, one hundred thirty-two".