241056000 has 432 divisors, whose sum is σ = 928531968. Its totient is φ = 62208000.

The previous prime is 241055989. The next prime is 241056019. The reversal of 241056000 is 650142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7775985 + ... + 7776015.

Almost surely, 2^241056000 is an apocalyptic number.

241056000 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 241056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464265984).

241056000 is an abundant number, since it is smaller than the sum of its proper divisors (687475968).

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

241056000 is an frugal number, since it uses more digits than its factorization.

241056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 241056000 is about 15525.9782300504. The cubic root of 241056000 is about 622.3566225169.

The spelling of 241056000 in words is "two hundred forty-one million, fifty-six thousand".