286476960 has 384 divisors, whose sum is σ = 1177473024. Its totient is φ = 56770560.

The previous prime is 286476959. The next prime is 286476997. The reversal of 286476960 is 69674682.

It is a super-2 number, since 2×286476960² = 164138097221683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 849912 + ... + 850248.

It is an arithmetic number, because the mean of its divisors is an integer number (3066336).

Almost surely, 2^286476960 is an apocalyptic number.

286476960 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 286476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588736512).

286476960 is an abundant number, since it is smaller than the sum of its proper divisors (890996064).

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

286476960 is a wasteful number, since it uses less digits than its factorization.

286476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 286476960 is about 16925.6302689147. The cubic root of 286476960 is about 659.2192788609.

The spelling of 286476960 in words is "two hundred eighty-six million, four hundred seventy-six thousand, nine hundred sixty".