240975000 has 480 divisors, whose sum is σ = 1020872160. Its totient is φ = 51840000.

The previous prime is 240974977. The next prime is 240975013. The reversal of 240975000 is 579042.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14174992 + ... + 14175008.

It is an arithmetic number, because the mean of its divisors is an integer number (2126817).

Almost surely, 2^240975000 is an apocalyptic number.

240975000 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 240975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510436080).

240975000 is an abundant number, since it is smaller than the sum of its proper divisors (779897160).

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

240975000 is an equidigital number, since it uses as much as digits as its factorization.

240975000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 240975000 is about 15523.3694795943. The cubic root of 240975000 is about 622.2869063045.

The spelling of 240975000 in words is "two hundred forty million, nine hundred seventy-five thousand".