287490 has 48 divisors (see below), whose sum is σ = 810432. Its totient is φ = 63936.

The previous prime is 287449. The next prime is 287491. The reversal of 287490 is 94782.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287491) by changing a digit.

287490 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7752 + ... + 7788.

It is an arithmetic number, because the mean of its divisors is an integer number (16884).

287490 is a Friedman number, since it can be written as 70*(9+8^4+2), using all its digits and the basic arithmetic operations.

2²⁸⁷⁴⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 287490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405216).

287490 is an abundant number, since it is smaller than the sum of its proper divisors (522942).

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

287490 is a wasteful number, since it uses less digits than its factorization.

287490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 287490 is about 536.1809396090. The cubic root of 287490 is about 65.9995408600. Note that the first 3 decimals are identical.

It can be divided in two parts, 287 and 490, that added together give a palindrome (777).

The spelling of 287490 in words is "two hundred eighty-seven thousand, four hundred ninety".