241346664 has 192 divisors, whose sum is σ = 761342400. Its totient is φ = 68428800.

The previous prime is 241346657. The next prime is 241346669. The reversal of 241346664 is 466643142.

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

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

It is not an unprimeable number, because it can be changed into a prime (241346669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728979 + ... + 729309.

It is an arithmetic number, because the mean of its divisors is an integer number (3965325).

Almost surely, 2^241346664 is an apocalyptic number.

241346664 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 241346664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380671200).

241346664 is an abundant number, since it is smaller than the sum of its proper divisors (519995736).

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

241346664 is a wasteful number, since it uses less digits than its factorization.

241346664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 409 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 241346664 is about 15535.3359796304. The cubic root of 241346664 is about 622.6066667748.

The spelling of 241346664 in words is "two hundred forty-one million, three hundred forty-six thousand, six hundred sixty-four".