201315240 has 256 divisors, whose sum is σ = 792576000. Its totient is φ = 44478720.

The previous prime is 201315227. The next prime is 201315287. The reversal of 201315240 is 42513102.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 201315240 = 44³ + 586³ = 456³ + 474³.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233931 + ... + 234789.

It is an arithmetic number, because the mean of its divisors is an integer number (3096000).

Almost surely, 2^201315240 is an apocalyptic number.

201315240 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 201315240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396288000).

201315240 is an abundant number, since it is smaller than the sum of its proper divisors (591260760).

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

201315240 is a wasteful number, since it uses less digits than its factorization.

201315240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 201315240 is about 14188.5601806526. The cubic root of 201315240 is about 586.0826761551.

Adding to 201315240 its reverse (42513102), we get a palindrome (243828342).

The spelling of 201315240 in words is "two hundred one million, three hundred fifteen thousand, two hundred forty".