442865772 has 96 divisors (see below), whose sum is σ = 1200460800. Its totient is φ = 141051456.

The previous prime is 442865767. The next prime is 442865777. The reversal of 442865772 is 277568244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442865767) and next prime (442865777).

It is a super-2 number, since 2×442865772² = 392260184018311968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442865777) 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, 217254 + ... + 219282.

It is an arithmetic number, because the mean of its divisors is an integer number (12504800).

Almost surely, 2^442865772 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 442865772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600230400).

442865772 is an abundant number, since it is smaller than the sum of its proper divisors (757595028).

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

442865772 is a wasteful number, since it uses less digits than its factorization.

442865772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2124 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 442865772 is about 21044.3762559027. The cubic root of 442865772 is about 762.2381920128.

The spelling of 442865772 in words is "four hundred forty-two million, eight hundred sixty-five thousand, seven hundred seventy-two".