286045920 has 144 divisors (see below), whose sum is σ = 981070272. Its totient is φ = 75893760.

The previous prime is 286045913. The next prime is 286045939. The reversal of 286045920 is 29540682.

It is a happy number.

286045920 is a `hidden beast` number, since 2 + 8 + 60 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389874 + ... + 390606.

It is an arithmetic number, because the mean of its divisors is an integer number (6812988).

Almost surely, 2^286045920 is an apocalyptic number.

286045920 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 286045920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490535136).

286045920 is an abundant number, since it is smaller than the sum of its proper divisors (695024352).

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

286045920 is a wasteful number, since it uses less digits than its factorization.

286045920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 286045920 is about 16912.8921240573. The cubic root of 286045920 is about 658.8884872676. Note that the first 3 decimals are identical.

The spelling of 286045920 in words is "two hundred eighty-six million, forty-five thousand, nine hundred twenty".