242308800 has 336 divisors, whose sum is σ = 907084800. Its totient is φ = 62899200.

The previous prime is 242308799. The next prime is 242308823. The reversal of 242308800 is 8803242.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3067161 + ... + 3067239.

Almost surely, 2^242308800 is an apocalyptic number.

242308800 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 242308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453542400).

242308800 is an abundant number, since it is smaller than the sum of its proper divisors (664776000).

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

242308800 is a wasteful number, since it uses less digits than its factorization.

242308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

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

The square root of 242308800 is about 15566.2712298097. The cubic root of 242308800 is about 623.4329167507.

The spelling of 242308800 in words is "two hundred forty-two million, three hundred eight thousand, eight hundred".