242573760 has 672 divisors, whose sum is σ = 1065093120. Its totient is φ = 49766400.

The previous prime is 242573717. The next prime is 242573797. The reversal of 242573760 is 67375242.

It is a happy number.

242573760 is a `hidden beast` number, since 24 + 2 + 573 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7824945 + ... + 7824975.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 2^242573760 is an apocalyptic number.

242573760 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 242573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

242573760 is an abundant number, since it is smaller than the sum of its proper divisors (822519360).

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

242573760 is a wasteful number, since it uses less digits than its factorization.

242573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 242573760 is about 15574.7796132080. The cubic root of 242573760 is about 623.6600712651.

The spelling of 242573760 in words is "two hundred forty-two million, five hundred seventy-three thousand, seven hundred sixty".