240412320 has 384 divisors, whose sum is σ = 925344000. Its totient is φ = 58060800.

The previous prime is 240412313. The next prime is 240412321. The reversal of 240412320 is 23214042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240412293 and 240412302.

It is not an unprimeable number, because it can be changed into a prime (240412321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2380270 + ... + 2380370.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^240412320 is an apocalyptic number.

240412320 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 240412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

240412320 is an abundant number, since it is smaller than the sum of its proper divisors (684931680).

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

240412320 is a wasteful number, since it uses less digits than its factorization.

240412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240412320 is about 15505.2352449100. The cubic root of 240412320 is about 621.8021792798.

Adding to 240412320 its reverse (23214042), we get a palindrome (263626362).

The spelling of 240412320 in words is "two hundred forty million, four hundred twelve thousand, three hundred twenty".