241947648 has 110 divisors (see below), whose sum is σ = 722750666. Its totient is φ = 80621568.

The previous prime is 241947647. The next prime is 241947659. The reversal of 241947648 is 846749142.

241947648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 241864704 + 82944 = 15552^2 + 288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241947647) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81486 + ... + 84402.

Almost surely, 2^241947648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361375333).

241947648 is an abundant number, since it is smaller than the sum of its proper divisors (480803018).

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

241947648 is an equidigital number, since it uses as much as digits as its factorization.

241947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2922 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 241947648 is about 15554.6664380822. Note that the first 3 decimals coincide. The cubic root of 241947648 is about 623.1230284338.

The spelling of 241947648 in words is "two hundred forty-one million, nine hundred forty-seven thousand, six hundred forty-eight".