242692800 has 336 divisors, whose sum is σ = 943368192. Its totient is φ = 53452800.

The previous prime is 242692781. The next prime is 242692837. The reversal of 242692800 is 8296242.

242692800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041484 + ... + 1041716.

Almost surely, 2^242692800 is an apocalyptic number.

242692800 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 242692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471684096).

242692800 is an abundant number, since it is smaller than the sum of its proper divisors (700675392).

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

242692800 is a wasteful number, since it uses less digits than its factorization.

242692800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 242692800 is about 15578.6007073806. The cubic root of 242692800 is about 623.7620723417.

The spelling of 242692800 in words is "two hundred forty-two million, six hundred ninety-two thousand, eight hundred".