286045440 has 144 divisors (see below), whose sum is σ = 921173568. Its totient is φ = 75644928.

The previous prime is 286045421. The next prime is 286045499. The reversal of 286045440 is 44540682.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625692 + ... + 626148.

Almost surely, 2^286045440 is an apocalyptic number.

286045440 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 286045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460586784).

286045440 is an abundant number, since it is smaller than the sum of its proper divisors (635128128).

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

286045440 is a wasteful number, since it uses less digits than its factorization.

286045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 286045440 is about 16912.8779336930. The cubic root of 286045440 is about 658.8881187176. Note that the first 3 decimals are identical.

The spelling of 286045440 in words is "two hundred eighty-six million, forty-five thousand, four hundred forty".