240300672 has 64 divisors (see below), whose sum is σ = 653909760. Its totient is φ = 78141440.

The previous prime is 240300667. The next prime is 240300673. The reversal of 240300672 is 276003042.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (240300673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8113 + ... + 23375.

It is an arithmetic number, because the mean of its divisors is an integer number (10217340).

Almost surely, 2^240300672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326954880).

240300672 is an abundant number, since it is smaller than the sum of its proper divisors (413609088).

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

240300672 is a wasteful number, since it uses less digits than its factorization.

240300672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15321 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 240300672 is about 15501.6344944654. The cubic root of 240300672 is about 621.7059089511.

The spelling of 240300672 in words is "two hundred forty million, three hundred thousand, six hundred seventy-two".