286968240 has 480 divisors, whose sum is σ = 1143926784. Its totient is φ = 63866880.

The previous prime is 286968239. The next prime is 286968251. The reversal of 286968240 is 42869682.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6673659 + ... + 6673701.

Almost surely, 2^286968240 is an apocalyptic number.

286968240 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 286968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571963392).

286968240 is an abundant number, since it is smaller than the sum of its proper divisors (856958544).

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

286968240 is a wasteful number, since it uses less digits than its factorization.

286968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 286968240 is about 16940.1369534015. The cubic root of 286968240 is about 659.5958958767.

The spelling of 286968240 in words is "two hundred eighty-six million, nine hundred sixty-eight thousand, two hundred forty".