201430240 has 96 divisors (see below), whose sum is σ = 522710496. Its totient is φ = 72744960.

The previous prime is 201430231. The next prime is 201430249. The reversal of 201430240 is 42034102.

It is an interprime number because it is at equal distance from previous prime (201430231) and next prime (201430249).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201430249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339384 + ... + 339976.

It is an arithmetic number, because the mean of its divisors is an integer number (5444901).

Almost surely, 2^201430240 is an apocalyptic number.

201430240 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 201430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261355248).

201430240 is an abundant number, since it is smaller than the sum of its proper divisors (321280256).

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

201430240 is a wasteful number, since it uses less digits than its factorization.

201430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 201430240 is about 14192.6121626711. The cubic root of 201430240 is about 586.1942535300.

Adding to 201430240 its reverse (42034102), we get a palindrome (243464342).

The spelling of 201430240 in words is "two hundred one million, four hundred thirty thousand, two hundred forty".