241876800 has 336 divisors, whose sum is σ = 963777600. Its totient is φ = 58521600.

The previous prime is 241876771. The next prime is 241876801. The reversal of 241876800 is 8678142.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241876801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474946 + ... + 475454.

Almost surely, 2^241876800 is an apocalyptic number.

241876800 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 241876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481888800).

241876800 is an abundant number, since it is smaller than the sum of its proper divisors (721900800).

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

241876800 is a wasteful number, since it uses less digits than its factorization.

241876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 241876800 is about 15552.3888840268. The cubic root of 241876800 is about 623.0622007706.

The spelling of 241876800 in words is "two hundred forty-one million, eight hundred seventy-six thousand, eight hundred".