240000420 has 96 divisors (see below), whose sum is σ = 742533120. Its totient is φ = 57432960.

The previous prime is 240000401. The next prime is 240000437. The reversal of 240000420 is 24000042.

240000420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

240000420 is a modest number, since divided by 420 gives 240 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 240000396 and 240000405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49839 + ... + 54441.

It is an arithmetic number, because the mean of its divisors is an integer number (7734720).

Almost surely, 2^240000420 is an apocalyptic number.

240000420 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 240000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371266560).

240000420 is an abundant number, since it is smaller than the sum of its proper divisors (502532700).

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

240000420 is a wasteful number, since it uses less digits than its factorization.

240000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 240000420 is about 15491.9469402654. The cubic root of 240000420 is about 621.4468637010.

Adding to 240000420 its reverse (24000042), we get a palindrome (264000462).

The spelling of 240000420 in words is "two hundred forty million, four hundred twenty", and thus it is an aban number.