242735472 has 120 divisors (see below), whose sum is σ = 780220896. Its totient is φ = 69009408.

The previous prime is 242735461. The next prime is 242735489. The reversal of 242735472 is 274537242.

It is a happy number.

242735472 is a `hidden beast` number, since 2 + 42 + 73 + 547 + 2 = 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258588 + ... + 259524.

Almost surely, 2^242735472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242735472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390110448).

242735472 is an abundant number, since it is smaller than the sum of its proper divisors (537485424).

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

242735472 is a wasteful number, since it uses less digits than its factorization.

242735472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1206 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 242735472 is about 15579.9702182000. The cubic root of 242735472 is about 623.7986283160.

The spelling of 242735472 in words is "two hundred forty-two million, seven hundred thirty-five thousand, four hundred seventy-two".