244638432 has 144 divisors (see below), whose sum is σ = 762456240. Its totient is φ = 74059776.

The previous prime is 244638421. The next prime is 244638437. The reversal of 244638432 is 234836442.

244638432 is a `hidden beast` number, since 244 + 6 + 384 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×244638432³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244638437) by changing a digit.

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, 141123 + ... + 142845.

It is an arithmetic number, because the mean of its divisors is an integer number (5294835).

Almost surely, 2^244638432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244638432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381228120).

244638432 is an abundant number, since it is smaller than the sum of its proper divisors (517817808).

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

244638432 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (244638431) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1774).

244638432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1774 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 244638432 is about 15640.9217119708. The cubic root of 244638432 is about 625.4245069116.

The spelling of 244638432 in words is "two hundred forty-four million, six hundred thirty-eight thousand, four hundred thirty-two".