242304440 has 64 divisors (see below), whose sum is σ = 625579200. Its totient is φ = 82741248.

The previous prime is 242304427. The next prime is 242304449. The reversal of 242304440 is 44403242.

242304440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242304440² = 117422883287427200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242304449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73712 + ... + 76928.

It is an arithmetic number, because the mean of its divisors is an integer number (9774675).

Almost surely, 2^242304440 is an apocalyptic number.

242304440 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 242304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312789600).

242304440 is an abundant number, since it is smaller than the sum of its proper divisors (383274760).

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

242304440 is a wasteful number, since it uses less digits than its factorization.

242304440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 242304440 is about 15566.1311827956. The cubic root of 242304440 is about 623.4291774673.

Adding to 242304440 its reverse (44403242), we get a palindrome (286707682).

The spelling of 242304440 in words is "two hundred forty-two million, three hundred four thousand, four hundred forty".