286218240 has 384 divisors, whose sum is σ = 1151055360. Its totient is φ = 59473920.

The previous prime is 286218217. The next prime is 286218241. The reversal of 286218240 is 42812682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286218241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26019835 + ... + 26019845.

It is an arithmetic number, because the mean of its divisors is an integer number (2997540).

Almost surely, 2^286218240 is an apocalyptic number.

286218240 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 286218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575527680).

286218240 is an abundant number, since it is smaller than the sum of its proper divisors (864837120).

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

286218240 is an equidigital number, since it uses as much as digits as its factorization.

286218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 286218240 is about 16917.9856957027. The cubic root of 286218240 is about 659.0207700752.

The spelling of 286218240 in words is "two hundred eighty-six million, two hundred eighteen thousand, two hundred forty".