241864896 has 224 divisors, whose sum is σ = 801095680. Its totient is φ = 62705664.

The previous prime is 241864871. The next prime is 241864897. The reversal of 241864896 is 698468142.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (241864897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1904385 + ... + 1904511.

It is an arithmetic number, because the mean of its divisors is an integer number (3576320).

Almost surely, 2^241864896 is an apocalyptic number.

241864896 is a gapful number since it is divisible by the number (26) 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 241864896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400547840).

241864896 is an abundant number, since it is smaller than the sum of its proper divisors (559230784).

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

241864896 is a wasteful number, since it uses less digits than its factorization.

241864896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 241864896 is about 15552.0061728383. The cubic root of 241864896 is about 623.0519792390.

The spelling of 241864896 in words is "two hundred forty-one million, eight hundred sixty-four thousand, eight hundred ninety-six".