241461080 has 64 divisors (see below), whose sum is σ = 625121280. Its totient is φ = 82224000.

The previous prime is 241461053. The next prime is 241461083. The reversal of 241461080 is 80164142.

241461080 = T₃₉₂ + T₃₉₃ + ... + T₁₁₄₆.

241461080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241461083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39425 + ... + 45135.

It is an arithmetic number, because the mean of its divisors is an integer number (9767520).

Almost surely, 2^241461080 is an apocalyptic number.

241461080 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 241461080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312560640).

241461080 is an abundant number, since it is smaller than the sum of its proper divisors (383660200).

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

241461080 is a wasteful number, since it uses less digits than its factorization.

241461080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 241461080 is about 15539.0179869900. The cubic root of 241461080 is about 622.7050382890.

The spelling of 241461080 in words is "two hundred forty-one million, four hundred sixty-one thousand, eighty".