520414080 has 256 divisors, whose sum is σ = 1739059200. Its totient is φ = 132268032.

The previous prime is 520414073. The next prime is 520414099. The reversal of 520414080 is 80414025.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 520414080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6587481 + ... + 6587559.

It is an arithmetic number, because the mean of its divisors is an integer number (6793200).

Almost surely, 2^520414080 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 520414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869529600).

520414080 is an abundant number, since it is smaller than the sum of its proper divisors (1218645120).

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

520414080 is a wasteful number, since it uses less digits than its factorization.

520414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 520414080 is about 22812.5859998379. The cubic root of 520414080 is about 804.3585440759.

The spelling of 520414080 in words is "five hundred twenty million, four hundred fourteen thousand, eighty".