241978800 has 120 divisors (see below), whose sum is σ = 885903616. Its totient is φ = 55307520.

The previous prime is 241978787. The next prime is 241978811. The reversal of 241978800 is 8879142.

241978800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6004 + ... + 22803.

Almost surely, 2^241978800 is an apocalyptic number.

241978800 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 241978800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442951808).

241978800 is an abundant number, since it is smaller than the sum of its proper divisors (643924816).

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

241978800 is a wasteful number, since it uses less digits than its factorization.

241978800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28835 (or 28824 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 241978800 is about 15555.6677773730. The cubic root of 241978800 is about 623.1497707142.

The spelling of 241978800 in words is "two hundred forty-one million, nine hundred seventy-eight thousand, eight hundred".