286452 has 36 divisors (see below), whose sum is σ = 740740. Its totient is φ = 93312.

The previous prime is 286427. The next prime is 286453. The reversal of 286452 is 254682.

It can be written as a sum of positive squares in 2 ways, for example, as 181476 + 104976 = 426^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

Its product of digits (3840) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2574 + ... + 2682.

2²⁸⁶⁴⁵² 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 286452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370370).

286452 is an abundant number, since it is smaller than the sum of its proper divisors (454288).

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

286452 is a wasteful number, since it uses less digits than its factorization.

286452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 187 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 286452 is about 535.2121074864. The cubic root of 286452 is about 65.9200132945.

It can be divided in two parts, 2864 and 52, that added together give a square (2916 = 54²).

The spelling of 286452 in words is "two hundred eighty-six thousand, four hundred fifty-two".