523752840 has 96 divisors (see below), whose sum is σ = 1833151320. Its totient is φ = 128922624.

The previous prime is 523752839. The next prime is 523752863. The reversal of 523752840 is 48257325.

523752840 is a `hidden beast` number, since 5 + 2 + 375 + 284 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 458045604 + 65707236 = 21402^2 + 8106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 523752795 and 523752804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51277 + ... + 60636.

Almost surely, 2^523752840 is an apocalyptic number.

It is an amenable number.

523752840 is an abundant number, since it is smaller than the sum of its proper divisors (1309398480).

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

523752840 is a wasteful number, since it uses less digits than its factorization.

523752840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111943 (or 111936 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 523752840 is about 22885.6470303988. The cubic root of 523752840 is about 806.0750216996.

The spelling of 523752840 in words is "five hundred twenty-three million, seven hundred fifty-two thousand, eight hundred forty".