242414400 has 84 divisors (see below), whose sum is σ = 795336992. Its totient is φ = 64642560.

The previous prime is 242414399. The next prime is 242414401. The reversal of 242414400 is 4414242.

242414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242414399) and next prime (242414401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242414401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20452 + ... + 30051.

Almost surely, 2^242414400 is an apocalyptic number.

242414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242414400 is an abundant number, since it is smaller than the sum of its proper divisors (552922592).

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

242414400 is a wasteful number, since it uses less digits than its factorization.

242414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50528 (or 50513 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 242414400 is about 15569.6628094509. The cubic root of 242414400 is about 623.5234691844.

Adding to 242414400 its reverse (4414242), we get a palindrome (246828642).

The spelling of 242414400 in words is "two hundred forty-two million, four hundred fourteen thousand, four hundred".