241284000 has 96 divisors (see below), whose sum is σ = 790485696. Its totient is φ = 64339200.

The previous prime is 241283953. The next prime is 241284019. The reversal of 241284000 is 482142.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1947 + ... + 22053.

It is an arithmetic number, because the mean of its divisors is an integer number (8234226).

Almost surely, 2^241284000 is an apocalyptic number.

241284000 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 241284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395242848).

241284000 is an abundant number, since it is smaller than the sum of its proper divisors (549201696).

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

241284000 is a wasteful number, since it uses less digits than its factorization.

241284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20135 (or 20117 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 241284000 is about 15533.3190271751. The cubic root of 241284000 is about 622.5527769321.

The spelling of 241284000 in words is "two hundred forty-one million, two hundred eighty-four thousand".