244114560 has 320 divisors, whose sum is σ = 926390520. Its totient is φ = 61046784.

The previous prime is 244114531. The next prime is 244114561. The reversal of 244114560 is 65411442.

It can be written as a sum of positive squares in 4 ways, for example, as 189117504 + 54997056 = 13752^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244114561) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 881142 + ... + 881418.

Almost surely, 2^244114560 is an apocalyptic number.

244114560 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 244114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463195260).

244114560 is an abundant number, since it is smaller than the sum of its proper divisors (682275960).

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

244114560 is a wasteful number, since it uses less digits than its factorization.

244114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 244114560 is about 15624.1658977367. The cubic root of 244114560 is about 624.9777570751.

The spelling of 244114560 in words is "two hundred forty-four million, one hundred fourteen thousand, five hundred sixty".