242400444 has 96 divisors (see below), whose sum is σ = 687536640. Its totient is φ = 65452800.

The previous prime is 242400443. The next prime is 242400463. The reversal of 242400444 is 444004242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47329 + ... + 52199.

It is an arithmetic number, because the mean of its divisors is an integer number (7161840).

Almost surely, 2^242400444 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 242400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343768320).

242400444 is an abundant number, since it is smaller than the sum of its proper divisors (445136196).

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

242400444 is a wasteful number, since it uses less digits than its factorization.

242400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 242400444 is about 15569.2146237374. The cubic root of 242400444 is about 623.5115033653.

Adding to 242400444 its reverse (444004242), we get a palindrome (686404686).

The spelling of 242400444 in words is "two hundred forty-two million, four hundred thousand, four hundred forty-four".