283886400 has 504 divisors, whose sum is σ = 1163336256. Its totient is φ = 60211200.

The previous prime is 283886389. The next prime is 283886411. The reversal of 283886400 is 4688382.

283886400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (283886389) and next prime (283886411).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3998365 + ... + 3998435.

Almost surely, 2^283886400 is an apocalyptic number.

283886400 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 283886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581668128).

283886400 is an abundant number, since it is smaller than the sum of its proper divisors (879449856).

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

283886400 is a wasteful number, since it uses less digits than its factorization.

283886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 283886400 is about 16848.9287493300. The cubic root of 283886400 is about 657.2261916100.

The spelling of 283886400 in words is "two hundred eighty-three million, eight hundred eighty-six thousand, four hundred".