240768504 has 64 divisors (see below), whose sum is σ = 673380000. Its totient is φ = 79706880.

The previous prime is 240768503. The next prime is 240768529. The reversal of 240768504 is 405867042.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240768503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28444 + ... + 35924.

Almost surely, 2^240768504 is an apocalyptic number.

240768504 is a gapful number since it is divisible by the number (24) 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 240768504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336690000).

240768504 is an abundant number, since it is smaller than the sum of its proper divisors (432611496).

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

240768504 is a wasteful number, since it uses less digits than its factorization.

240768504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7645 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 240768504 is about 15516.7169207922. The cubic root of 240768504 is about 622.1091057317.

The spelling of 240768504 in words is "two hundred forty million, seven hundred sixty-eight thousand, five hundred four".