286381840 has 40 divisors (see below), whose sum is σ = 667789848. Its totient is φ = 114216960.

The previous prime is 286381807. The next prime is 286381841. The reversal of 286381840 is 48183682.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 283450896 = 1712^2 + 16836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 286381793 and 286381802.

It is not an unprimeable number, because it can be changed into a prime (286381841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23170 + ... + 33310.

Almost surely, 2^286381840 is an apocalyptic number.

286381840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286381840 is an abundant number, since it is smaller than the sum of its proper divisors (381408008).

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

286381840 is a wasteful number, since it uses less digits than its factorization.

286381840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 286381840 is about 16922.8200959533. The cubic root of 286381840 is about 659.1463097826.

The spelling of 286381840 in words is "two hundred eighty-six million, three hundred eighty-one thousand, eight hundred forty".