442688 has 14 divisors (see below), whose sum is σ = 878586. Its totient is φ = 221312.

The previous prime is 442633. The next prime is 442691. The reversal of 442688 is 886244.

It can be written as a sum of positive squares in only one way, i.e., 399424 + 43264 = 632^2 + 208^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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 442688.

It is an unprimeable number.

442688 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 as a sum of consecutive naturals, namely, 3395 + ... + 3522.

2⁴⁴²⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

442688 is a deficient number, since it is larger than the sum of its proper divisors (435898).

442688 is an equidigital number, since it uses as much as digits as its factorization.

442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6919 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 442688 is about 665.3480292298. The cubic root of 442688 is about 76.2136187635.

Subtracting 442688 from its reverse (886244), we obtain a square (443556 = 666²).

The spelling of 442688 in words is "four hundred forty-two thousand, six hundred eighty-eight".