287245920 has 144 divisors (see below), whose sum is σ = 980057232. Its totient is φ = 70686720.

The previous prime is 287245909. The next prime is 287245943. The reversal of 287245920 is 29542782.

287245920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 79350 + ... + 82890.

It is an arithmetic number, because the mean of its divisors is an integer number (6805953).

Almost surely, 2^287245920 is an apocalyptic number.

287245920 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 287245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490028616).

287245920 is an abundant number, since it is smaller than the sum of its proper divisors (692811312).

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

287245920 is a wasteful number, since it uses less digits than its factorization.

287245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 287245920 is about 16948.3308912707. The cubic root of 287245920 is about 659.8085762579.

The spelling of 287245920 in words is "two hundred eighty-seven million, two hundred forty-five thousand, nine hundred twenty".