523920000 has 320 divisors, whose sum is σ = 1816293600. Its totient is φ = 133632000.

The previous prime is 523919993. The next prime is 523920011. The reversal of 523920000 is 29325.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8879971 + ... + 8880029.

Almost surely, 2^523920000 is an apocalyptic number.

523920000 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 523920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908146800).

523920000 is an abundant number, since it is smaller than the sum of its proper divisors (1292373600).

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

523920000 is an equidigital number, since it uses as much as digits as its factorization.

523920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 523920000 is about 22889.2988097058. The cubic root of 523920000 is about 806.1607677220.

Adding to 523920000 its reverse (29325), we get a palindrome (523949325).

The spelling of 523920000 in words is "five hundred twenty-three million, nine hundred twenty thousand".