244005120 has 216 divisors, whose sum is σ = 860932800. Its totient is φ = 63787008.

The previous prime is 244005119. The next prime is 244005133. The reversal of 244005120 is 21500442.

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

It is a junction number, because it is equal to n+sod(n) for n = 244005093 and 244005102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679501 + ... + 679859.

It is an arithmetic number, because the mean of its divisors is an integer number (3985800).

Almost surely, 2^244005120 is an apocalyptic number.

244005120 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 244005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430466400).

244005120 is an abundant number, since it is smaller than the sum of its proper divisors (616927680).

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

244005120 is a wasteful number, since it uses less digits than its factorization.

244005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 244005120 is about 15620.6632381599. The cubic root of 244005120 is about 624.8843476672.

Adding to 244005120 its reverse (21500442), we get a palindrome (265505562).

The spelling of 244005120 in words is "two hundred forty-four million, five thousand, one hundred twenty".