241734400 has 108 divisors (see below), whose sum is σ = 605633112. Its totient is φ = 95518720.

The previous prime is 241734377. The next prime is 241734403. The reversal of 241734400 is 4437142.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (241734403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684624 + ... + 684976.

It is an arithmetic number, because the mean of its divisors is an integer number (5607714).

Almost surely, 2^241734400 is an apocalyptic number.

241734400 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 241734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302816556).

241734400 is an abundant number, since it is smaller than the sum of its proper divisors (363898712).

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

241734400 is a wasteful number, since it uses less digits than its factorization.

241734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 241734400 is about 15547.8101351927. The cubic root of 241734400 is about 622.9399050750.

The spelling of 241734400 in words is "two hundred forty-one million, seven hundred thirty-four thousand, four hundred".