244800 has 126 divisors (see below), whose sum is σ = 921258. Its totient is φ = 61440.

The previous prime is 244787. The next prime is 244813. The reversal of 244800 is 8442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (244787) and next prime (244813).

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 207936 = 192^2 + 456^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

244800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14392 + ... + 14408.

2²⁴⁴⁸⁰⁰ is an apocalyptic number.

244800 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 244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460629).

244800 is an abundant number, since it is smaller than the sum of its proper divisors (676458).

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

244800 is a wasteful number, since it uses less digits than its factorization.

244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 244800 is about 494.7726750741. The cubic root of 244800 is about 62.5562160875.

The spelling of 244800 in words is "two hundred forty-four thousand, eight hundred".