242332400 has 60 divisors (see below), whose sum is σ = 583772904. Its totient is φ = 96672000.

The previous prime is 242332357. The next prime is 242332417. The reversal of 242332400 is 4233242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227870 + ... + 228930.

Almost surely, 2^242332400 is an apocalyptic number.

242332400 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 242332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291886452).

242332400 is an abundant number, since it is smaller than the sum of its proper divisors (341440504).

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

242332400 is a wasteful number, since it uses less digits than its factorization.

242332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 242332400 is about 15567.0292605879. The cubic root of 242332400 is about 623.4531561301.

Adding to 242332400 its reverse (4233242), we get a palindrome (246565642).

The spelling of 242332400 in words is "two hundred forty-two million, three hundred thirty-two thousand, four hundred".