246800 has 30 divisors (see below), whose sum is σ = 593898. Its totient is φ = 98560.

The previous prime is 246793. The next prime is 246803. The reversal of 246800 is 8642.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 246016 = 28^2 + 496^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (246803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92 + ... + 708.

2²⁴⁶⁸⁰⁰ is an apocalyptic number.

246800 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 246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296949).

246800 is an abundant number, since it is smaller than the sum of its proper divisors (347098).

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

246800 is a wasteful number, since it uses less digits than its factorization.

246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 246800 is about 496.7896939350. The cubic root of 246800 is about 62.7261143040.

The spelling of 246800 in words is "two hundred forty-six thousand, eight hundred".