523508832 has 480 divisors, whose sum is σ = 1996372224. Its totient is φ = 130636800.

The previous prime is 523508831. The next prime is 523508849. The reversal of 523508832 is 238805325.

523508832 is a `hidden beast` number, since 523 + 50 + 8 + 83 + 2 = 666.

It is a super-2 number, since 2×523508832² = 548122994364008448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523508831) 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 79 ways as a sum of consecutive naturals, for example, 8582082 + ... + 8582142.

Almost surely, 2^523508832 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 523508832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998186112).

523508832 is an abundant number, since it is smaller than the sum of its proper divisors (1472863392).

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

523508832 is a wasteful number, since it uses less digits than its factorization.

523508832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 523508832 is about 22880.3153824417. The cubic root of 523508832 is about 805.9498231380.

The spelling of 523508832 in words is "five hundred twenty-three million, five hundred eight thousand, eight hundred thirty-two".