240201420 has 96 divisors (see below), whose sum is σ = 738823680. Its totient is φ = 58037760.

The previous prime is 240201407. The next prime is 240201421. The reversal of 240201420 is 24102042.

240201420 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 240201420.

It is not an unprimeable number, because it can be changed into a prime (240201421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21640 + ... + 30800.

It is an arithmetic number, because the mean of its divisors is an integer number (7696080).

Almost surely, 2^240201420 is an apocalyptic number.

240201420 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 240201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369411840).

240201420 is an abundant number, since it is smaller than the sum of its proper divisors (498622260).

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

240201420 is a wasteful number, since it uses less digits than its factorization.

240201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9215 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 240201420 is about 15498.4328239987. The cubic root of 240201420 is about 621.6203022377.

Adding to 240201420 its reverse (24102042), we get a palindrome (264303462).

The spelling of 240201420 in words is "two hundred forty million, two hundred one thousand, four hundred twenty".