288450 has 36 divisors (see below), whose sum is σ = 776178. Its totient is φ = 76800.

The previous prime is 288433. The next prime is 288461. The reversal of 288450 is 54882.

288450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 263169 + 25281 = 513^2 + 159^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 130 + ... + 770.

2²⁸⁸⁴⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388089).

288450 is an abundant number, since it is smaller than the sum of its proper divisors (487728).

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

288450 is a wasteful number, since it uses less digits than its factorization.

288450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 288450 is about 537.0754136990. The cubic root of 288450 is about 66.0729221548.

It can be divided in two parts, 288 and 450, that multiplied together give a square (129600 = 360²).

The spelling of 288450 in words is "two hundred eighty-eight thousand, four hundred fifty".