242443800 has 384 divisors, whose sum is σ = 937440000. Its totient is φ = 57231360.

The previous prime is 242443739. The next prime is 242443801. The reversal of 242443800 is 8344242.

It is a happy number.

242443800 is a `hidden beast` number, since 242 + 44 + 380 + 0 = 666.

242443800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242443801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1744131 + ... + 1744269.

It is an arithmetic number, because the mean of its divisors is an integer number (2441250).

Almost surely, 2^242443800 is an apocalyptic number.

242443800 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 242443800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720000).

242443800 is an abundant number, since it is smaller than the sum of its proper divisors (694996200).

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

242443800 is a wasteful number, since it uses less digits than its factorization.

242443800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 242443800 is about 15570.6069245871. The cubic root of 242443800 is about 623.5486751251.

The spelling of 242443800 in words is "two hundred forty-two million, four hundred forty-three thousand, eight hundred".