241472000 has 320 divisors, whose sum is σ = 766022400. Its totient is φ = 75264000.

The previous prime is 241471991. The next prime is 241472003. The reversal of 241472000 is 274142.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (241472003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21951995 + ... + 21952005.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 2^241472000 is an apocalyptic number.

241472000 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 241472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383011200).

241472000 is an abundant number, since it is smaller than the sum of its proper divisors (524550400).

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

241472000 is an frugal number, since it uses more digits than its factorization.

241472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 241472000 is about 15539.3693565730. The cubic root of 241472000 is about 622.7144253594.

The spelling of 241472000 in words is "two hundred forty-one million, four hundred seventy-two thousand".