242662400 has 66 divisors (see below), whose sum is σ = 601572360. Its totient is φ = 97054720.

The previous prime is 242662379. The next prime is 242662417. The reversal of 242662400 is 4266242.

It is a self number, because there is not a number n which added to its sum of digits gives 242662400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20861 + ... + 30339.

Almost surely, 2^242662400 is an apocalyptic number.

242662400 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 242662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300786180).

242662400 is an abundant number, since it is smaller than the sum of its proper divisors (358909960).

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

242662400 is an equidigital number, since it uses as much as digits as its factorization.

242662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9486 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 242662400 is about 15577.6249794377. The cubic root of 242662400 is about 623.7360268515.

The spelling of 242662400 in words is "two hundred forty-two million, six hundred sixty-two thousand, four hundred".