288456 has 64 divisors (see below), whose sum is σ = 881280. Its totient is φ = 76800.

The previous prime is 288433. The next prime is 288461. The reversal of 288456 is 654882.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288456.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2806 + ... + 2906.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2²⁸⁸⁴⁵⁶ 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 288456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

288456 is an abundant number, since it is smaller than the sum of its proper divisors (592824).

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

288456 is a wasteful number, since it uses less digits than its factorization.

288456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 288456 is about 537.0809994777. The cubic root of 288456 is about 66.0733802756.

It can be divided in two parts, 288 and 456, that multiplied together give a triangular number (131328 = T₅₁₂).

The spelling of 288456 in words is "two hundred eighty-eight thousand, four hundred fifty-six".