520935408 has 160 divisors (see below), whose sum is σ = 1764331520. Its totient is φ = 144011520.

The previous prime is 520935397. The next prime is 520935419. The reversal of 520935408 is 804539025.

520935408 is a `hidden beast` number, since 5 + 20 + 93 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (520935397) and next prime (520935419).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90966 + ... + 96522.

It is an arithmetic number, because the mean of its divisors is an integer number (11027072).

Almost surely, 2^520935408 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 520935408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882165760).

520935408 is an abundant number, since it is smaller than the sum of its proper divisors (1243396112).

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

520935408 is a wasteful number, since it uses less digits than its factorization.

520935408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 520935408 is about 22824.0094637204. The cubic root of 520935408 is about 804.6270448085.

The spelling of 520935408 in words is "five hundred twenty million, nine hundred thirty-five thousand, four hundred eight".