520128000 has 640 divisors, whose sum is σ = 2246999040. Its totient is φ = 116121600.

The previous prime is 520127987. The next prime is 520128001. The reversal of 520128000 is 821025.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520128001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12095979 + ... + 12096021.

It is an arithmetic number, because the mean of its divisors is an integer number (3510936).

Almost surely, 2^520128000 is an apocalyptic number.

520128000 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 520128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123499520).

520128000 is an abundant number, since it is smaller than the sum of its proper divisors (1726871040).

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

520128000 is an equidigital number, since it uses as much as digits as its factorization.

520128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 520128000 is about 22806.3149149528. The cubic root of 520128000 is about 804.2111274454.

Adding to 520128000 its reverse (821025), we get a palindrome (520949025).

The spelling of 520128000 in words is "five hundred twenty million, one hundred twenty-eight thousand".