240985800 has 192 divisors, whose sum is σ = 905745600. Its totient is φ = 58406400.

The previous prime is 240985793. The next prime is 240985817. The reversal of 240985800 is 8589042.

240985800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57372 + ... + 61428.

It is an arithmetic number, because the mean of its divisors is an integer number (4717425).

Almost surely, 2^240985800 is an apocalyptic number.

240985800 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 240985800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452872800).

240985800 is an abundant number, since it is smaller than the sum of its proper divisors (664759800).

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

240985800 is a wasteful number, since it uses less digits than its factorization.

240985800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4093 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 240985800 is about 15523.7173383182. The cubic root of 240985800 is about 622.2962027021.

It can be divided in two parts, 2409 and 85800, that added together give a square (88209 = 297²).

The spelling of 240985800 in words is "two hundred forty million, nine hundred eighty-five thousand, eight hundred".