241329744 has 60 divisors (see below), whose sum is σ = 677528436. Its totient is φ = 80188416.

The previous prime is 241329733. The next prime is 241329749. The reversal of 241329744 is 447923142.

It can be written as a sum of positive squares in 2 ways, for example, as 109998144 + 131331600 = 10488^2 + 11460^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241329699 and 241329708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241329749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46042 + ... + 51014.

Almost surely, 2^241329744 is an apocalyptic number.

241329744 is a gapful number since it is divisible by the number (24) 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 241329744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338764218).

241329744 is an abundant number, since it is smaller than the sum of its proper divisors (436198692).

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

241329744 is a wasteful number, since it uses less digits than its factorization.

241329744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5315 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 241329744 is about 15534.7914051010. The cubic root of 241329744 is about 622.5921168175.

The spelling of 241329744 in words is "two hundred forty-one million, three hundred twenty-nine thousand, seven hundred forty-four".