288492 has 24 divisors (see below), whose sum is σ = 697200. Its totient is φ = 92736.

The previous prime is 288481. The next prime is 288493. The reversal of 288492 is 294882.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288492.

It is not an unprimeable number, because it can be changed into a prime (288493) by changing a digit.

288492 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 in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 762.

It is an arithmetic number, because the mean of its divisors is an integer number (29050).

2²⁸⁸⁴⁹² 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 288492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348600).

288492 is an abundant number, since it is smaller than the sum of its proper divisors (408708).

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

288492 is a wasteful number, since it uses less digits than its factorization.

288492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 863 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 288492 is about 537.1145129300. The cubic root of 288492 is about 66.0761288666.

It can be divided in two parts, 288 and 492, that added together give a triangular number (780 = T₃₉).

The spelling of 288492 in words is "two hundred eighty-eight thousand, four hundred ninety-two".