241001000 has 64 divisors (see below), whose sum is σ = 566289360. Its totient is φ = 96000000.

The previous prime is 241000973. The next prime is 241001003. The reversal of 241001000 is 100142.

It can be written as a sum of positive squares in 8 ways, for example, as 102373924 + 138627076 = 10118^2 + 11774^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241001003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400700 + ... + 401300.

Almost surely, 2^241001000 is an apocalyptic number.

241001000 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 241001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283144680).

241001000 is an abundant number, since it is smaller than the sum of its proper divisors (325288360).

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

241001000 is a wasteful number, since it uses less digits than its factorization.

241001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 241001000 is about 15524.2069040579. The cubic root of 241001000 is about 622.3092860503.

Adding to 241001000 its reverse (100142), we get a palindrome (241101142).

The spelling of 241001000 in words is "two hundred forty-one million, one thousand".