523823300 has 144 divisors (see below), whose sum is σ = 1526485632. Its totient is φ = 150681600.

The previous prime is 523823297. The next prime is 523823309. The reversal of 523823300 is 3328325.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 523823300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523823309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97484 + ... + 102716.

Almost surely, 2^523823300 is an apocalyptic number.

523823300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523823300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763242816).

523823300 is an abundant number, since it is smaller than the sum of its proper divisors (1002662332).

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

523823300 is a wasteful number, since it uses less digits than its factorization.

523823300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 523823300 is about 22887.1863714175. The cubic root of 523823300 is about 806.1111669287. Note that the first 4 decimals are identical.

The spelling of 523823300 in words is "five hundred twenty-three million, eight hundred twenty-three thousand, three hundred".