242159400 has 144 divisors (see below), whose sum is σ = 929479200. Its totient is φ = 55347840.

The previous prime is 242159377. The next prime is 242159429. The reversal of 242159400 is 4951242.

242159400 is a `hidden beast` number, since 242 + 15 + 9 + 400 = 666.

It is a super-4 number, since 4×242159400⁴ (a number of 35 digits) contains 4444 as substring.

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, 2991 + ... + 22209.

Almost surely, 2^242159400 is an apocalyptic number.

242159400 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 242159400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464739600).

242159400 is an abundant number, since it is smaller than the sum of its proper divisors (687319800).

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

242159400 is a wasteful number, since it uses less digits than its factorization.

242159400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19248 (or 19236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 242159400 is about 15561.4716527711. The cubic root of 242159400 is about 623.3047606858.

The spelling of 242159400 in words is "two hundred forty-two million, one hundred fifty-nine thousand, four hundred".