242285472 has 384 divisors, whose sum is σ = 868734720. Its totient is φ = 64696320.

The previous prime is 242285443. The next prime is 242285489. The reversal of 242285472 is 274582242.

242285472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×242285472⁴ (a number of 35 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4571398 + ... + 4571450.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^242285472 is an apocalyptic number.

242285472 is a gapful number since it is divisible by the number (22) 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 242285472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

242285472 is an abundant number, since it is smaller than the sum of its proper divisors (626449248).

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

242285472 is a wasteful number, since it uses less digits than its factorization.

242285472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 242285472 is about 15565.5218993775. The cubic root of 242285472 is about 623.4129093472.

The spelling of 242285472 in words is "two hundred forty-two million, two hundred eighty-five thousand, four hundred seventy-two".