242814000 has 320 divisors, whose sum is σ = 922940928. Its totient is φ = 54144000.

The previous prime is 242813993. The next prime is 242814001. The reversal of 242814000 is 418242.

It is not an unprimeable number, because it can be changed into a prime (242814001) 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, 857859 + ... + 858141.

Almost surely, 2^242814000 is an apocalyptic number.

242814000 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 242814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461470464).

242814000 is an abundant number, since it is smaller than the sum of its proper divisors (680126928).

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

242814000 is a wasteful number, since it uses less digits than its factorization.

242814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 242814000 is about 15582.4901732682. The cubic root of 242814000 is about 623.8658899826.

The spelling of 242814000 in words is "two hundred forty-two million, eight hundred fourteen thousand".