240320432 has 80 divisors (see below), whose sum is σ = 555393024. Its totient is φ = 99456000.

The previous prime is 240320413. The next prime is 240320459. The reversal of 240320432 is 234023042.

It is a super-3 number, since 3×240320432³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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, 91457 + ... + 94047.

Almost surely, 2^240320432 is an apocalyptic number.

240320432 is a gapful number since it is divisible by the number (22) 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 240320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277696512).

240320432 is an abundant number, since it is smaller than the sum of its proper divisors (315072592).

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

240320432 is a wasteful number, since it uses less digits than its factorization.

240320432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 240320432 is about 15502.2718335088. The cubic root of 240320432 is about 621.7229495083.

Adding to 240320432 its reverse (234023042), we get a palindrome (474343474).

The spelling of 240320432 in words is "two hundred forty million, three hundred twenty thousand, four hundred thirty-two".