286228440 has 48 divisors (see below), whose sum is σ = 930243600. Its totient is φ = 76327488.

The previous prime is 286228433. The next prime is 286228469. The reversal of 286228440 is 44822682.

It is a happy number.

286228440 is a `hidden beast` number, since 28 + 622 + 8 + 4 + 4 + 0 = 666.

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 = 286228395 and 286228404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397180 + ... + 397899.

It is an arithmetic number, because the mean of its divisors is an integer number (19380075).

Almost surely, 2^286228440 is an apocalyptic number.

286228440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286228440 is an abundant number, since it is smaller than the sum of its proper divisors (644015160).

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

286228440 is a wasteful number, since it uses less digits than its factorization.

286228440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795096 (or 795089 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 286228440 is about 16918.2871473444. The cubic root of 286228440 is about 659.0285985211.

The spelling of 286228440 in words is "two hundred eighty-six million, two hundred twenty-eight thousand, four hundred forty".