240976000 has 64 divisors (see below), whose sum is σ = 599166360. Its totient is φ = 96384000.

The previous prime is 240975997. The next prime is 240976009. The reversal of 240976000 is 679042.

It can be written as a sum of positive squares in 4 ways, for example, as 104366656 + 136609344 = 10216^2 + 11688^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 240976000.

It is not an unprimeable number, because it can be changed into a prime (240976009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8470 + ... + 23530.

Almost surely, 2^240976000 is an apocalyptic number.

240976000 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 240976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299583180).

240976000 is an abundant number, since it is smaller than the sum of its proper divisors (358190360).

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

240976000 is an equidigital number, since it uses as much as digits as its factorization.

240976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15090 (or 15068 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 240976000 is about 15523.4016890629. The cubic root of 240976000 is about 622.2877670938.

The spelling of 240976000 in words is "two hundred forty million, nine hundred seventy-six thousand".