286430100 has 288 divisors, whose sum is σ = 971187840. Its totient is φ = 64512000.

The previous prime is 286430087. The next prime is 286430167. The reversal of 286430100 is 1034682.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3923664 + ... + 3923736.

It is an arithmetic number, because the mean of its divisors is an integer number (3372180).

Almost surely, 2^286430100 is an apocalyptic number.

286430100 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 286430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485593920).

286430100 is an abundant number, since it is smaller than the sum of its proper divisors (684757740).

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

286430100 is a wasteful number, since it uses less digits than its factorization.

286430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 286430100 is about 16924.2459211629. The cubic root of 286430100 is about 659.1833333292.

Adding to 286430100 its reverse (1034682), we get a palindrome (287464782).

The spelling of 286430100 in words is "two hundred eighty-six million, four hundred thirty thousand, one hundred".