241683288 has 256 divisors, whose sum is σ = 819072000. Its totient is φ = 58705920.

The previous prime is 241683283. The next prime is 241683289. The reversal of 241683288 is 882386142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241683283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1539306 + ... + 1539462.

It is an arithmetic number, because the mean of its divisors is an integer number (3199500).

Almost surely, 2^241683288 is an apocalyptic number.

241683288 is a gapful number since it is divisible by the number (28) 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 241683288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409536000).

241683288 is an abundant number, since it is smaller than the sum of its proper divisors (577388712).

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

241683288 is a wasteful number, since it uses less digits than its factorization.

241683288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 241683288 is about 15546.1663441506. The cubic root of 241683288 is about 622.8959974519.

The spelling of 241683288 in words is "two hundred forty-one million, six hundred eighty-three thousand, two hundred eighty-eight".