242975520 has 144 divisors (see below), whose sum is σ = 856058112. Its totient is φ = 62691840.

The previous prime is 242975507. The next prime is 242975521. The reversal of 242975520 is 25579242.

It is a happy number.

242975520 is a `hidden beast` number, since 2 + 42 + 97 + 5 + 520 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (242975521) 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, 41919 + ... + 47361.

It is an arithmetic number, because the mean of its divisors is an integer number (5944848).

Almost surely, 2^242975520 is an apocalyptic number.

242975520 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 242975520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428029056).

242975520 is an abundant number, since it is smaller than the sum of its proper divisors (613082592).

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

242975520 is a wasteful number, since it uses less digits than its factorization.

242975520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5495 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 242975520 is about 15587.6720519775. The cubic root of 242975520 is about 624.0041912933.

The spelling of 242975520 in words is "two hundred forty-two million, nine hundred seventy-five thousand, five hundred twenty".