242871000 has 128 divisors (see below), whose sum is σ = 768830400. Its totient is φ = 63820800.

The previous prime is 242870941. The next prime is 242871001. The reversal of 242871000 is 178242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242871001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218446 + ... + 219554.

Almost surely, 2^242871000 is an apocalyptic number.

242871000 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 242871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384415200).

242871000 is an abundant number, since it is smaller than the sum of its proper divisors (525959400).

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

242871000 is a wasteful number, since it uses less digits than its factorization.

242871000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 242871000 is about 15584.3190419088. The cubic root of 242871000 is about 623.9147031668.

The spelling of 242871000 in words is "two hundred forty-two million, eight hundred seventy-one thousand".