286160400 has 180 divisors, whose sum is σ = 1027674180. Its totient is φ = 73651200.

The previous prime is 286160363. The next prime is 286160419. The reversal of 286160400 is 4061682.

286160400 is a `hidden beast` number, since 2 + 8 + 616 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15492096 + 270668304 = 3936^2 + 16452^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 103030 + ... + 105770.

It is an arithmetic number, because the mean of its divisors is an integer number (5709301).

Almost surely, 2^286160400 is an apocalyptic number.

286160400 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 286160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513837090).

286160400 is an abundant number, since it is smaller than the sum of its proper divisors (741513780).

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

286160400 is a wasteful number, since it uses less digits than its factorization.

286160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 286160400 is about 16916.2761859695. The cubic root of 286160400 is about 658.9763746641.

The spelling of 286160400 in words is "two hundred eighty-six million, one hundred sixty thousand, four hundred".