286268420 has 24 divisors (see below), whose sum is σ = 603345624. Its totient is φ = 114091776.

The previous prime is 286268401. The next prime is 286268431. The reversal of 286268420 is 24862682.

It can be written as a sum of positive squares in 4 ways, for example, as 61748164 + 224520256 = 7858^2 + 14984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20297 + ... + 31376.

It is an arithmetic number, because the mean of its divisors is an integer number (25139401).

Almost surely, 2^286268420 is an apocalyptic number.

286268420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

286268420 is an abundant number, since it is smaller than the sum of its proper divisors (317077204).

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

286268420 is a wasteful number, since it uses less digits than its factorization.

286268420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51959 (or 51957 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 286268420 is about 16919.4686677803. The cubic root of 286268420 is about 659.0592811660.

The spelling of 286268420 in words is "two hundred eighty-six million, two hundred sixty-eight thousand, four hundred twenty".