4688442 has 48 divisors (see below), whose sum is σ = 11505312. Its totient is φ = 1419120.

The previous prime is 4688441. The next prime is 4688449. The reversal of 4688442 is 2448864.

It is a junction number, because it is equal to n+sod(n) for n = 4688397 and 4688406.

It is not an unprimeable number, because it can be changed into a prime (4688441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4908 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (239694).

Almost surely, 2^4688442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4688442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752656).

4688442 is an abundant number, since it is smaller than the sum of its proper divisors (6816870).

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

4688442 is a wasteful number, since it uses less digits than its factorization.

4688442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4688442 is about 2165.2810441141. The cubic root of 4688442 is about 167.3694475401.

It can be divided in two parts, 46 and 88442, that added together give a palindrome (88488).

The spelling of 4688442 in words is "four million, six hundred eighty-eight thousand, four hundred forty-two".