285863040 has 256 divisors, whose sum is σ = 1031097600. Its totient is φ = 74833920.

The previous prime is 285863033. The next prime is 285863047. The reversal of 285863040 is 40368582.

285863040 is a `hidden beast` number, since 2 + 8 + 586 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (285863033) and next prime (285863047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 285862986 and 285863004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285863047) 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, 1226764 + ... + 1226996.

It is an arithmetic number, because the mean of its divisors is an integer number (4027725).

Almost surely, 2^285863040 is an apocalyptic number.

285863040 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 285863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515548800).

285863040 is an abundant number, since it is smaller than the sum of its proper divisors (745234560).

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

285863040 is a wasteful number, since it uses less digits than its factorization.

285863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 285863040 is about 16907.4847330997. The cubic root of 285863040 is about 658.7480398700.

It can be divided in two parts, 28586 and 3040, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 285863040 in words is "two hundred eighty-five million, eight hundred sixty-three thousand, forty".