242432400 has 480 divisors, whose sum is σ = 984064000. Its totient is φ = 50803200.

The previous prime is 242432389. The next prime is 242432413. The reversal of 242432400 is 4234242.

242432400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7820385 + ... + 7820415.

Almost surely, 2^242432400 is an apocalyptic number.

242432400 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 242432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492032000).

242432400 is an abundant number, since it is smaller than the sum of its proper divisors (741631600).

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

242432400 is a wasteful number, since it uses less digits than its factorization.

242432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 242432400 is about 15570.2408459214. The cubic root of 242432400 is about 623.5389016349.

Adding to 242432400 its reverse (4234242), we get a palindrome (246666642).

The spelling of 242432400 in words is "two hundred forty-two million, four hundred thirty-two thousand, four hundred".