242346720 has 384 divisors, whose sum is σ = 975421440. Its totient is φ = 49121280.

The previous prime is 242346719. The next prime is 242346739. The reversal of 242346720 is 27643242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2919799 + ... + 2919881.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 2^242346720 is an apocalyptic number.

242346720 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 242346720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487710720).

242346720 is an abundant number, since it is smaller than the sum of its proper divisors (733074720).

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

242346720 is a wasteful number, since it uses less digits than its factorization.

242346720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 242346720 is about 15567.4892002532. The cubic root of 242346720 is about 623.4654363333.

Adding to 242346720 its reverse (27643242), we get a palindrome (269989962).

The spelling of 242346720 in words is "two hundred forty-two million, three hundred forty-six thousand, seven hundred twenty".