242906400 has 216 divisors, whose sum is σ = 934721424. Its totient is φ = 58867200.

The previous prime is 242906383. The next prime is 242906413. The reversal of 242906400 is 4609242.

242906400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77667 + ... + 80733.

It is an arithmetic number, because the mean of its divisors is an integer number (4327414).

Almost surely, 2^242906400 is an apocalyptic number.

242906400 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 242906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467360712).

242906400 is an abundant number, since it is smaller than the sum of its proper divisors (691815024).

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

242906400 is a wasteful number, since it uses less digits than its factorization.

242906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242906400 is about 15585.4547575616. The cubic root of 242906400 is about 623.9450148789.

The spelling of 242906400 in words is "two hundred forty-two million, nine hundred six thousand, four hundred".