240004352 has 162 divisors, whose sum is σ = 599258898. Its totient is φ = 95606784.

The previous prime is 240004337. The next prime is 240004361. The reversal of 240004352 is 253400042.

It can be written as a sum of positive squares in only one way, i.e., 221890816 + 18113536 = 14896^2 + 4256^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 4528358 + ... + 4528410.

It is an arithmetic number, because the mean of its divisors is an integer number (3699129).

Almost surely, 2^240004352 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 240004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299629449).

240004352 is an abundant number, since it is smaller than the sum of its proper divisors (359254546).

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

240004352 is an equidigital number, since it uses as much as digits as its factorization.

240004352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 240004352 is about 15492.0738443889. The cubic root of 240004352 is about 621.4502574669.

Adding to 240004352 its reverse (253400042), we get a palindrome (493404394).

The spelling of 240004352 in words is "two hundred forty million, four thousand, three hundred fifty-two".