241514496 has 72 divisors (see below), whose sum is σ = 697591440. Its totient is φ = 80498688.

The previous prime is 241514443. The next prime is 241514509. The reversal of 241514496 is 694415142.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 241514496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11881 + ... + 24983.

It is an arithmetic number, because the mean of its divisors is an integer number (9688770).

Almost surely, 2^241514496 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 241514496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348795720).

241514496 is an abundant number, since it is smaller than the sum of its proper divisors (456076944).

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

241514496 is a wasteful number, since it uses less digits than its factorization.

241514496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13108 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 241514496 is about 15540.7366620762. The cubic root of 241514496 is about 622.7509531556.

The spelling of 241514496 in words is "two hundred forty-one million, five hundred fourteen thousand, four hundred ninety-six".