242472000 has 112 divisors (see below), whose sum is σ = 800721792. Its totient is φ = 64652800.

The previous prime is 242471993. The next prime is 242472001. The reversal of 242472000 is 274242.

242472000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242472001) 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 15 ways as a sum of consecutive naturals, for example, 18949 + ... + 29051.

Almost surely, 2^242472000 is an apocalyptic number.

242472000 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 242472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400360896).

242472000 is an abundant number, since it is smaller than the sum of its proper divisors (558249792).

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

242472000 is a wasteful number, since it uses less digits than its factorization.

242472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10113 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 242472000 is about 15571.5124506260. The cubic root of 242472000 is about 623.5728503372.

The spelling of 242472000 in words is "two hundred forty-two million, four hundred seventy-two thousand".