242298000 has 320 divisors, whose sum is σ = 993507840. Its totient is φ = 55296000.

The previous prime is 242297981. The next prime is 242298037. The reversal of 242298000 is 892242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377680 + ... + 378320.

It is an arithmetic number, because the mean of its divisors is an integer number (3104712).

Almost surely, 2^242298000 is an apocalyptic number.

242298000 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 242298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496753920).

242298000 is an abundant number, since it is smaller than the sum of its proper divisors (751209840).

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

242298000 is a wasteful number, since it uses less digits than its factorization.

242298000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 658 counting only the distinct ones).

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

The square root of 242298000 is about 15565.9243220568. The cubic root of 242298000 is about 623.4236542236.

The spelling of 242298000 in words is "two hundred forty-two million, two hundred ninety-eight thousand".