523249920 has 216 divisors, whose sum is σ = 1846700856. Its totient is φ = 136740864.

The previous prime is 523249897. The next prime is 523249921. The reversal of 523249920 is 29942325.

523249920 is a `hidden beast` number, since 523 + 2 + 49 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212926464 + 310323456 = 14592^2 + 17616^2 .

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 (523249921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610132 + ... + 610988.

It is an arithmetic number, because the mean of its divisors is an integer number (8549541).

Almost surely, 2^523249920 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 523249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923350428).

523249920 is an abundant number, since it is smaller than the sum of its proper divisors (1323450936).

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

523249920 is a wasteful number, since it uses less digits than its factorization.

523249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 523249920 is about 22874.6567187357. The cubic root of 523249920 is about 805.8169349051.

The spelling of 523249920 in words is "five hundred twenty-three million, two hundred forty-nine thousand, nine hundred twenty".