520848900 has 576 divisors, whose sum is σ = 2099865600. Its totient is φ = 108864000.

The previous prime is 520848883. The next prime is 520848943. The reversal of 520848900 is 9848025.

520848900 is a `hidden beast` number, since 520 + 8 + 48 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7335865 + ... + 7335935.

It is an arithmetic number, because the mean of its divisors is an integer number (3645600).

Almost surely, 2^520848900 is an apocalyptic number.

520848900 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 520848900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049932800).

520848900 is an abundant number, since it is smaller than the sum of its proper divisors (1579016700).

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

520848900 is a wasteful number, since it uses less digits than its factorization.

520848900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 520848900 is about 22822.1142754128. The cubic root of 520848900 is about 804.5825027989.

The spelling of 520848900 in words is "five hundred twenty million, eight hundred forty-eight thousand, nine hundred".