288408 has 32 divisors (see below), whose sum is σ = 736560. Its totient is φ = 94080.

The previous prime is 288403. The next prime is 288413. The reversal of 288408 is 804882.

It is an interprime number because it is at equal distance from previous prime (288403) and next prime (288413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288403) 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, 1366 + ... + 1562.

2²⁸⁸⁴⁰⁸ 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 288408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368280).

288408 is an abundant number, since it is smaller than the sum of its proper divisors (448152).

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

288408 is a wasteful number, since it uses less digits than its factorization.

288408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 288408 is about 537.0363116215. The cubic root of 288408 is about 66.0697151317.

It can be divided in two parts, 288 and 408, that added together give a palindrome (696).

The spelling of 288408 in words is "two hundred eighty-eight thousand, four hundred eight".