242401000 has 64 divisors (see below), whose sum is σ = 570286080. Its totient is φ = 96436800.

The previous prime is 242400973. The next prime is 242401009. The reversal of 242401000 is 104242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242401009) 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 15 ways as a sum of consecutive naturals, for example, 222457 + ... + 223543.

It is an arithmetic number, because the mean of its divisors is an integer number (8910720).

Almost surely, 2^242401000 is an apocalyptic number.

242401000 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 242401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285143040).

242401000 is an abundant number, since it is smaller than the sum of its proper divisors (327885080).

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

242401000 is a wasteful number, since it uses less digits than its factorization.

242401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 242401000 is about 15569.2324794770. The cubic root of 242401000 is about 623.5119800863.

Adding to 242401000 its reverse (104242), we get a palindrome (242505242).

The spelling of 242401000 in words is "two hundred forty-two million, four hundred one thousand".