286426140 has 384 divisors, whose sum is σ = 1137991680. Its totient is φ = 51840000.

The previous prime is 286426117. The next prime is 286426169. The reversal of 286426140 is 41624682.

It is a super-3 number, since 3×286426140³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1141015 + ... + 1141265.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 2^286426140 is an apocalyptic number.

286426140 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 286426140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

286426140 is an abundant number, since it is smaller than the sum of its proper divisors (851565540).

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

286426140 is a wasteful number, since it uses less digits than its factorization.

286426140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 286426140 is about 16924.1289288400. The cubic root of 286426140 is about 659.1802954990.

It can be divided in two parts, 286 and 426140, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 286426140 in words is "two hundred eighty-six million, four hundred twenty-six thousand, one hundred forty".