241800384 has 224 divisors, whose sum is σ = 816376320. Its totient is φ = 61489152.

The previous prime is 241800379. The next prime is 241800389. The reversal of 241800384 is 483008142.

It is an interprime number because it is at equal distance from previous prime (241800379) and next prime (241800389).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×241800384³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (241800389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433834 + ... + 434390.

Almost surely, 2^241800384 is an apocalyptic number.

241800384 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 241800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408188160).

241800384 is an abundant number, since it is smaller than the sum of its proper divisors (574575936).

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

241800384 is a wasteful number, since it uses less digits than its factorization.

241800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 241800384 is about 15549.9319612659. The cubic root of 241800384 is about 622.9965792972.

The spelling of 241800384 in words is "two hundred forty-one million, eight hundred thousand, three hundred eighty-four".