241414000 has 80 divisors (see below), whose sum is σ = 614558880. Its totient is φ = 91468800.

The previous prime is 241413983. The next prime is 241414007. The reversal of 241414000 is 414142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241414007) 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, 34824 + ... + 41176.

It is an arithmetic number, because the mean of its divisors is an integer number (7681986).

Almost surely, 2^241414000 is an apocalyptic number.

241414000 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 241414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307279440).

241414000 is an abundant number, since it is smaller than the sum of its proper divisors (373144880).

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

241414000 is a wasteful number, since it uses less digits than its factorization.

241414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6395 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 241414000 is about 15537.5030168943. The cubic root of 241414000 is about 622.6645640521.

Adding to 241414000 its reverse (414142), we get a palindrome (241828142).

The spelling of 241414000 in words is "two hundred forty-one million, four hundred fourteen thousand".