242463360 has 128 divisors (see below), whose sum is σ = 777288960. Its totient is φ = 64286720.

The previous prime is 242463343. The next prime is 242463371. The reversal of 242463360 is 63364242.

It is a happy number.

242463360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

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 15 ways as a sum of consecutive naturals, for example, 562345 + ... + 562775.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2^242463360 is an apocalyptic number.

242463360 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 242463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388644480).

242463360 is an abundant number, since it is smaller than the sum of its proper divisors (534825600).

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

242463360 is a wasteful number, since it uses less digits than its factorization.

242463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 242463360 is about 15571.2350184563. The cubic root of 242463360 is about 623.5654436629.

The spelling of 242463360 in words is "two hundred forty-two million, four hundred sixty-three thousand, three hundred sixty".