520557408 has 384 divisors, whose sum is σ = 1889879040. Its totient is φ = 136028160.

The previous prime is 520557407. The next prime is 520557419. The reversal of 520557408 is 804755025.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520557407) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6271735 + ... + 6271817.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2^520557408 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 520557408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944939520).

520557408 is an abundant number, since it is smaller than the sum of its proper divisors (1369321632).

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

520557408 is a wasteful number, since it uses less digits than its factorization.

520557408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 520557408 is about 22815.7272073454. The cubic root of 520557408 is about 804.4323804840.

The spelling of 520557408 in words is "five hundred twenty million, five hundred fifty-seven thousand, four hundred eight".