241798320 has 120 divisors (see below), whose sum is σ = 831946752. Its totient is φ = 62899200.

The previous prime is 241798309. The next prime is 241798363. The reversal of 241798320 is 23897142.

241798320 is a `hidden beast` number, since 241 + 7 + 98 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25425 + ... + 33615.

Almost surely, 2^241798320 is an apocalyptic number.

241798320 is a gapful number since it is divisible by the number (20) 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 241798320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415973376).

241798320 is an abundant number, since it is smaller than the sum of its proper divisors (590148432).

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

241798320 is a wasteful number, since it uses less digits than its factorization.

241798320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 241798320 is about 15549.8655942744. The cubic root of 241798320 is about 622.9948066662.

The spelling of 241798320 in words is "two hundred forty-one million, seven hundred ninety-eight thousand, three hundred twenty".