283368960 has 360 divisors, whose sum is σ = 1146161016. Its totient is φ = 64512000.

The previous prime is 283368959. The next prime is 283368961. The reversal of 283368960 is 69863382.

283368960 is a `hidden beast` number, since 283 + 368 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (283368959) and next prime (283368961).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283368961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128835 + ... + 1129085.

Almost surely, 2^283368960 is an apocalyptic number.

283368960 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 283368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573080508).

283368960 is an abundant number, since it is smaller than the sum of its proper divisors (862792056).

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

283368960 is a wasteful number, since it uses less digits than its factorization.

283368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 283368960 is about 16833.5664670325. The cubic root of 283368960 is about 656.8266398310.

The spelling of 283368960 in words is "two hundred eighty-three million, three hundred sixty-eight thousand, nine hundred sixty".