244240800 has 144 divisors (see below), whose sum is σ = 801511200. Its totient is φ = 64599040.

The previous prime is 244240793. The next prime is 244240837. The reversal of 244240800 is 8042442.

244240800 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357259 + ... + 357941.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2^244240800 is an apocalyptic number.

244240800 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 244240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400755600).

244240800 is an abundant number, since it is smaller than the sum of its proper divisors (557270400).

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

244240800 is a wasteful number, since it uses less digits than its factorization.

244240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 244240800 is about 15628.2052712396. The cubic root of 244240800 is about 625.0854709777.

The spelling of 244240800 in words is "two hundred forty-four million, two hundred forty thousand, eight hundred".