286440 has 128 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 57600.

The previous prime is 286427. The next prime is 286453. The reversal of 286440 is 44682.

286440 = T₂₁ + T₂₂ + ... + T₁₁₉.

It is an interprime number because it is at equal distance from previous prime (286427) and next prime (286453).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁷ + 8 + 4⁷ + 6⁵ + 4⁹ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 286440.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 286440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9225 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2²⁸⁶⁴⁴⁰ is an apocalyptic number.

286440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

286440 is an abundant number, since it is smaller than the sum of its proper divisors (819480).

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

286440 is a wasteful number, since it uses less digits than its factorization.

286440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 286440 is about 535.2008968602. The cubic root of 286440 is about 65.9190927782.

286440 divided by its sum of digits (24) gives a triangular number (11935 = T₁₅₄).

The spelling of 286440 in words is "two hundred eighty-six thousand, four hundred forty".