242133400 has 96 divisors (see below), whose sum is σ = 581212800. Its totient is φ = 93772800.

The previous prime is 242133373. The next prime is 242133401. The reversal of 242133400 is 4331242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242133401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085689 + ... + 1085911.

It is an arithmetic number, because the mean of its divisors is an integer number (6054300).

Almost surely, 2^242133400 is an apocalyptic number.

242133400 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 242133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290606400).

242133400 is an abundant number, since it is smaller than the sum of its proper divisors (339079400).

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

242133400 is a wasteful number, since it uses less digits than its factorization.

242133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 242133400 is about 15560.6362337791. The cubic root of 242133400 is about 623.2824523718.

Adding to 242133400 its reverse (4331242), we get a palindrome (246464642).

The spelling of 242133400 in words is "two hundred forty-two million, one hundred thirty-three thousand, four hundred".