442772 has 24 divisors (see below), whose sum is σ = 876960. Its totient is φ = 193760.

The previous prime is 442769. The next prime is 442777. The reversal of 442772 is 277244.

442772 = 8³ + 9³ + ... + 36³.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442772.

It is not an unprimeable number, because it can be changed into a prime (442777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1103 + ... + 1449.

It is an arithmetic number, because the mean of its divisors is an integer number (36540).

2⁴⁴²⁷⁷² is an apocalyptic number.

It is an amenable number.

442772 is a deficient number, since it is larger than the sum of its proper divisors (434188).

442772 is a wasteful number, since it uses less digits than its factorization.

442772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its digits is 3136, while the sum is 26.

The square root of 442772 is about 665.4111510938. The cubic root of 442772 is about 76.2184389672.

The spelling of 442772 in words is "four hundred forty-two thousand, seven hundred seventy-two", and thus it is an iban number.