287408 has 40 divisors (see below), whose sum is σ = 642816. Its totient is φ = 123200.

The previous prime is 287393. The next prime is 287437. The reversal of 287408 is 804782.

It is a congruent number.

It is an unprimeable number.

287408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4013 + ... + 4083.

2²⁸⁷⁴⁰⁸ 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 287408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408).

287408 is an abundant number, since it is smaller than the sum of its proper divisors (355408).

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

287408 is a wasteful number, since it uses less digits than its factorization.

287408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 287408 is about 536.1044674315. The cubic root of 287408 is about 65.9932653061.

The spelling of 287408 in words is "two hundred eighty-seven thousand, four hundred eight".