241624416 has 192 divisors, whose sum is σ = 731953152. Its totient is φ = 69696000.

The previous prime is 241624367. The next prime is 241624457. The reversal of 241624416 is 614426142.

It is a happy number.

241624416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3961026 + ... + 3961086.

It is an arithmetic number, because the mean of its divisors is an integer number (3812256).

Almost surely, 2^241624416 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 241624416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365976576).

241624416 is an abundant number, since it is smaller than the sum of its proper divisors (490328736).

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

241624416 is a wasteful number, since it uses less digits than its factorization.

241624416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 241624416 is about 15544.2727716674. The cubic root of 241624416 is about 622.8454159499.

The spelling of 241624416 in words is "two hundred forty-one million, six hundred twenty-four thousand, four hundred sixteen".