244381824 has 96 divisors (see below), whose sum is σ = 706545840. Its totient is φ = 81077760.

The previous prime is 244381801. The next prime is 244381843. The reversal of 244381824 is 428183442.

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 (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 353319 + ... + 354009.

Almost surely, 2^244381824 is an apocalyptic number.

244381824 is a gapful number since it is divisible by the number (24) 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 244381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353272920).

244381824 is an abundant number, since it is smaller than the sum of its proper divisors (462164016).

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

244381824 is a wasteful number, since it uses less digits than its factorization.

244381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1003 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 244381824 is about 15632.7164625986. The cubic root of 244381824 is about 625.2057554028.

It can be divided in two parts, 24438 and 1824, that added together give a palindrome (26262).

The spelling of 244381824 in words is "two hundred forty-four million, three hundred eighty-one thousand, eight hundred twenty-four".