523724920 has 64 divisors (see below), whose sum is σ = 1223424000. Its totient is φ = 201535488.

The previous prime is 523724879. The next prime is 523724921. The reversal of 523724920 is 29427325.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523724921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 408841 + ... + 410119.

It is an arithmetic number, because the mean of its divisors is an integer number (19116000).

Almost surely, 2^523724920 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 523724920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611712000).

523724920 is an abundant number, since it is smaller than the sum of its proper divisors (699699080).

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

523724920 is a wasteful number, since it uses less digits than its factorization.

523724920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 523724920 is about 22885.0370329611. The cubic root of 523724920 is about 806.0606981403.

The spelling of 523724920 in words is "five hundred twenty-three million, seven hundred twenty-four thousand, nine hundred twenty".