521948240 has 240 divisors, whose sum is σ = 1469477376. Its totient is φ = 170726400.

The previous prime is 521948201. The next prime is 521948249. The reversal of 521948240 is 42849125.

521948240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 521948240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521948249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9848054 + ... + 9848106.

Almost surely, 2^521948240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734738688).

521948240 is an abundant number, since it is smaller than the sum of its proper divisors (947529136).

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

521948240 is a wasteful number, since it uses less digits than its factorization.

521948240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 521948240 is about 22846.1865526831. The cubic root of 521948240 is about 805.1481743111.

The spelling of 521948240 in words is "five hundred twenty-one million, nine hundred forty-eight thousand, two hundred forty".