286427040 has 96 divisors (see below), whose sum is σ = 904732416. Its totient is φ = 76170240.

The previous prime is 286426991. The next prime is 286427047. The reversal of 286427040 is 40724682.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 286426992 and 286427010.

It is not an unprimeable number, because it can be changed into a prime (286427047) 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, 259129 + ... + 260231.

It is an arithmetic number, because the mean of its divisors is an integer number (9424296).

Almost surely, 2^286427040 is an apocalyptic number.

286427040 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 286427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452366208).

286427040 is an abundant number, since it is smaller than the sum of its proper divisors (618305376).

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

286427040 is a wasteful number, since it uses less digits than its factorization.

286427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 286427040 is about 16924.1555180753. The cubic root of 286427040 is about 659.1809859175.

The spelling of 286427040 in words is "two hundred eighty-six million, four hundred twenty-seven thousand, forty".