242464752 has 100 divisors (see below), whose sum is σ = 713500216. Its totient is φ = 79470720.

The previous prime is 242464751. The next prime is 242464753. The reversal of 242464752 is 257464242.

242464752 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 647 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (242464751) and next prime (242464753).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242464751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77523 + ... + 80589.

Almost surely, 2^242464752 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 242464752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356750108).

242464752 is an abundant number, since it is smaller than the sum of its proper divisors (471035464).

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

242464752 is a wasteful number, since it uses less digits than its factorization.

242464752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3133 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 242464752 is about 15571.2797161955. The cubic root of 242464752 is about 623.5666369723.

It can be divided in two parts, 2424 and 64752, that added together give a palindrome (67176).

The spelling of 242464752 in words is "two hundred forty-two million, four hundred sixty-four thousand, seven hundred fifty-two".