242892000 has 384 divisors, whose sum is σ = 957640320. Its totient is φ = 59443200.

The previous prime is 242891959. The next prime is 242892007. The reversal of 242892000 is 298242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242892007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403914 + ... + 1404086.

It is an arithmetic number, because the mean of its divisors is an integer number (2493855).

Almost surely, 2^242892000 is an apocalyptic number.

242892000 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 242892000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

242892000 is an abundant number, since it is smaller than the sum of its proper divisors (714748320).

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

242892000 is a wasteful number, since it uses less digits than its factorization.

242892000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 242892000 is about 15584.9927815190. The cubic root of 242892000 is about 623.9326850462.

The spelling of 242892000 in words is "two hundred forty-two million, eight hundred ninety-two thousand".