523468800 has 288 divisors, whose sum is σ = 1901563560. Its totient is φ = 137625600.

The previous prime is 523468793. The next prime is 523468801. The reversal of 523468800 is 8864325.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523468801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7372765 + ... + 7372835.

Almost surely, 2^523468800 is an apocalyptic number.

523468800 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 523468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950781780).

523468800 is an abundant number, since it is smaller than the sum of its proper divisors (1378094760).

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

523468800 is an equidigital number, since it uses as much as digits as its factorization.

523468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 523468800 is about 22879.4405526009. The cubic root of 523468800 is about 805.9292793231.

The spelling of 523468800 in words is "five hundred twenty-three million, four hundred sixty-eight thousand, eight hundred".