240596352 has 128 divisors (see below), whose sum is σ = 727056000. Its totient is φ = 78285312.

The previous prime is 240596347. The next prime is 240596357. The reversal of 240596352 is 253695042.

It is an interprime number because it is at equal distance from previous prime (240596347) and next prime (240596357).

It is a tau number, because it is divible by the number of its divisors (128).

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 (240596357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147799 + ... + 149417.

It is an arithmetic number, because the mean of its divisors is an integer number (5680125).

Almost surely, 2^240596352 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 240596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363528000).

240596352 is an abundant number, since it is smaller than the sum of its proper divisors (486459648).

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

240596352 is a wasteful number, since it uses less digits than its factorization.

240596352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 240596352 is about 15511.1686213515. The cubic root of 240596352 is about 621.9607988721.

The spelling of 240596352 in words is "two hundred forty million, five hundred ninety-six thousand, three hundred fifty-two".