286786416 has 80 divisors (see below), whose sum is σ = 864032000. Its totient is φ = 81934272.

The previous prime is 286786411. The next prime is 286786427. The reversal of 286786416 is 614687682.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286786411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7755 + ... + 25173.

It is an arithmetic number, because the mean of its divisors is an integer number (10800400).

Almost surely, 2^286786416 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 286786416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432016000).

286786416 is an abundant number, since it is smaller than the sum of its proper divisors (577245584).

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

286786416 is a wasteful number, since it uses less digits than its factorization.

286786416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17451 (or 17431 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 286786416 is about 16934.7694404146. The cubic root of 286786416 is about 659.4565590840.

The spelling of 286786416 in words is "two hundred eighty-six million, seven hundred eighty-six thousand, four hundred sixteen".