242380800 has 234 divisors, whose sum is σ = 871456872. Its totient is φ = 64389120.

The previous prime is 242380799. The next prime is 242380871. The reversal of 242380800 is 8083242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 921469 + ... + 921731.

Almost surely, 2^242380800 is an apocalyptic number.

242380800 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 242380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435728436).

242380800 is an abundant number, since it is smaller than the sum of its proper divisors (629076072).

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

242380800 is a wasteful number, since it uses less digits than its factorization.

242380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 242380800 is about 15568.5837506178. The cubic root of 242380800 is about 623.4946598994.

The spelling of 242380800 in words is "two hundred forty-two million, three hundred eighty thousand, eight hundred".