286216416 has 120 divisors (see below), whose sum is σ = 878535504. Its totient is φ = 91238400.

The previous prime is 286216387. The next prime is 286216477. The reversal of 286216416 is 614612682.

286216416 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 1 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 57216 + ... + 62016.

Almost surely, 2^286216416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439267752).

286216416 is an abundant number, since it is smaller than the sum of its proper divisors (592319088).

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

286216416 is a wasteful number, since it uses less digits than its factorization.

286216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4829 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 286216416 is about 16917.9317884900. The cubic root of 286216416 is about 659.0193701453.

The spelling of 286216416 in words is "two hundred eighty-six million, two hundred sixteen thousand, four hundred sixteen".