523560240 has 320 divisors, whose sum is σ = 2129387520. Its totient is φ = 115706880.

The previous prime is 523560179. The next prime is 523560241. The reversal of 523560240 is 42065325.

523560240 is a `hidden beast` number, since 52 + 3 + 5 + 602 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (523560241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468162 + ... + 469278.

It is an arithmetic number, because the mean of its divisors is an integer number (6654336).

Almost surely, 2^523560240 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 523560240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064693760).

523560240 is an abundant number, since it is smaller than the sum of its proper divisors (1605827280).

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

523560240 is a wasteful number, since it uses less digits than its factorization.

523560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 523560240 is about 22881.4387659518. The cubic root of 523560240 is about 805.9762034076.

The spelling of 523560240 in words is "five hundred twenty-three million, five hundred sixty thousand, two hundred forty".