286465920 has 256 divisors, whose sum is σ = 1028160000. Its totient is φ = 67313664.

The previous prime is 286465919. The next prime is 286465931. The reversal of 286465920 is 29564682.

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 31 ways as a sum of consecutive naturals, for example, 573831 + ... + 574329.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^286465920 is an apocalyptic number.

286465920 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 286465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080000).

286465920 is an abundant number, since it is smaller than the sum of its proper divisors (741694080).

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

286465920 is a wasteful number, since it uses less digits than its factorization.

286465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 286465920 is about 16925.3041331611. The cubic root of 286465920 is about 659.2108106123.

The spelling of 286465920 in words is "two hundred eighty-six million, four hundred sixty-five thousand, nine hundred twenty".