244200480 has 96 divisors (see below), whose sum is σ = 772789248. Its totient is φ = 64819200.

The previous prime is 244200479. The next prime is 244200487. The reversal of 244200480 is 84002442.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 244200480.

It is not an unprimeable number, because it can be changed into a prime (244200487) 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 15 ways as a sum of consecutive naturals, for example, 114625 + ... + 116735.

It is an arithmetic number, because the mean of its divisors is an integer number (8049888).

Almost surely, 2^244200480 is an apocalyptic number.

244200480 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 244200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386394624).

244200480 is an abundant number, since it is smaller than the sum of its proper divisors (528588768).

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

244200480 is a wasteful number, since it uses less digits than its factorization.

244200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2362 counting only the distinct ones).

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

The square root of 244200480 is about 15626.9152426191. The cubic root of 244200480 is about 625.0510720932.

The spelling of 244200480 in words is "two hundred forty-four million, two hundred thousand, four hundred eighty".