286344960 has 144 divisors (see below), whose sum is σ = 997799040. Its totient is φ = 69406720.

The previous prime is 286344941. The next prime is 286344967. The reversal of 286344960 is 69443682.

It is a happy number.

It is a super-2 number, since 2×286344960² = 163986872234803200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286344967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38851 + ... + 45629.

It is an arithmetic number, because the mean of its divisors is an integer number (6929160).

Almost surely, 2^286344960 is an apocalyptic number.

286344960 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 286344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498899520).

286344960 is an abundant number, since it is smaller than the sum of its proper divisors (711454080).

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

286344960 is a wasteful number, since it uses less digits than its factorization.

286344960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 286344960 is about 16921.7304079695. The cubic root of 286344960 is about 659.1180138084.

The spelling of 286344960 in words is "two hundred eighty-six million, three hundred forty-four thousand, nine hundred sixty".