523320000 has 420 divisors, whose sum is σ = 2035317240. Its totient is φ = 118272000.

The previous prime is 523319977. The next prime is 523320001. The reversal of 523320000 is 23325.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (523320001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5879956 + ... + 5880044.

Almost surely, 2^523320000 is an apocalyptic number.

523320000 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 523320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017658620).

523320000 is an abundant number, since it is smaller than the sum of its proper divisors (1511997240).

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

523320000 is an equidigital number, since it uses as much as digits as its factorization.

523320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 523320000 is about 22876.1884937155. The cubic root of 523320000 is about 805.8529082375.

Adding to 523320000 its reverse (23325), we get a palindrome (523343325).

The spelling of 523320000 in words is "five hundred twenty-three million, three hundred twenty thousand".