288462 has 16 divisors (see below), whose sum is σ = 582912. Its totient is φ = 95160.

The previous prime is 288461. The next prime is 288467. The reversal of 288462 is 264882.

It is a happy number.

It is a plaindrome in base 16.

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 288462.

It is not an unprimeable number, because it can be changed into a prime (288461) 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, 603 + ... + 969.

It is an arithmetic number, because the mean of its divisors is an integer number (36432).

2²⁸⁸⁴⁶² is an apocalyptic number.

288462 is an abundant number, since it is smaller than the sum of its proper divisors (294450).

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

288462 is a wasteful number, since it uses less digits than its factorization.

288462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

The product of its digits is 6144, while the sum is 30.

The square root of 288462 is about 537.0865851983. The cubic root of 288462 is about 66.0738383900.

The spelling of 288462 in words is "two hundred eighty-eight thousand, four hundred sixty-two".