240400320 has 112 divisors (see below), whose sum is σ = 774240768. Its totient is φ = 63185920.

The previous prime is 240400309. The next prime is 240400409. The reversal of 240400320 is 23004042.

It is a happy number.

240400320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×240400320² = 115584627712204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 240400320.

It is a congruent number.

It is an unprimeable number.

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, 66397 + ... + 69923.

It is an arithmetic number, because the mean of its divisors is an integer number (6912864).

Almost surely, 2^240400320 is an apocalyptic number.

240400320 is a gapful number since it is divisible by the number (20) 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 240400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387120384).

240400320 is an abundant number, since it is smaller than the sum of its proper divisors (533840448).

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

240400320 is a wasteful number, since it uses less digits than its factorization.

240400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 240400320 is about 15504.8482740077. The cubic root of 240400320 is about 621.7918335118.

Adding to 240400320 its reverse (23004042), we get a palindrome (263404362).

The spelling of 240400320 in words is "two hundred forty million, four hundred thousand, three hundred twenty".