240312420 has 144 divisors (see below), whose sum is σ = 762810048. Its totient is φ = 63504000.

The previous prime is 240312419. The next prime is 240312461. The reversal of 240312420 is 24213042.

240312420 is a `hidden beast` number, since 240 + 3 + 1 + 2 + 420 = 666.

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 = 240312393 and 240312402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 957295 + ... + 957545.

It is an arithmetic number, because the mean of its divisors is an integer number (5297292).

Almost surely, 2^240312420 is an apocalyptic number.

240312420 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 240312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381405024).

240312420 is an abundant number, since it is smaller than the sum of its proper divisors (522497628).

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

240312420 is a wasteful number, since it uses less digits than its factorization.

240312420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

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

The square root of 240312420 is about 15502.0134176177. The cubic root of 240312420 is about 621.7160402614.

Adding to 240312420 its reverse (24213042), we get a palindrome (264525462).

The spelling of 240312420 in words is "two hundred forty million, three hundred twelve thousand, four hundred twenty".