520248960 has 1024 divisors, whose sum is σ = 2538086400. Its totient is φ = 97320960.

The previous prime is 520248947. The next prime is 520248973. The reversal of 520248960 is 69842025.

It is a happy number.

520248960 is a `hidden beast` number, since 520 + 2 + 48 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (520248947) and next prime (520248973).

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 127 ways as a sum of consecutive naturals, for example, 22619509 + ... + 22619531.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2^520248960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269043200).

520248960 is an abundant number, since it is smaller than the sum of its proper divisors (2017837440).

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

520248960 is a wasteful number, since it uses less digits than its factorization.

520248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 520248960 is about 22808.9666578738. The cubic root of 520248960 is about 804.2734645611.

The spelling of 520248960 in words is "five hundred twenty million, two hundred forty-eight thousand, nine hundred sixty".