242366400 has 126 divisors (see below), whose sum is σ = 861478592. Its totient is φ = 64627200.

The previous prime is 242366393. The next prime is 242366429. The reversal of 242366400 is 4663242.

242366400 is a `hidden beast` number, since 24 + 236 + 6 + 400 = 666.

242366400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5985 + ... + 22815.

Almost surely, 2^242366400 is an apocalyptic number.

242366400 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 242366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430739296).

242366400 is an abundant number, since it is smaller than the sum of its proper divisors (619112192).

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

242366400 is a wasteful number, since it uses less digits than its factorization.

242366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16859 (or 16841 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 242366400 is about 15568.1212739367. The cubic root of 242366400 is about 623.4823122480.

The spelling of 242366400 in words is "two hundred forty-two million, three hundred sixty-six thousand, four hundred".