520359840 has 864 divisors, whose sum is σ = 2516282496. Its totient is φ = 94556160.

The previous prime is 520359803. The next prime is 520359857. The reversal of 520359840 is 48953025.

520359840 is a `hidden beast` number, since 5 + 20 + 3 + 598 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 520359795 and 520359804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27387351 + ... + 27387369.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^520359840 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 520359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258141248).

520359840 is an abundant number, since it is smaller than the sum of its proper divisors (1995922656).

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

520359840 is a wasteful number, since it uses less digits than its factorization.

520359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

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

The square root of 520359840 is about 22811.3971514241. The cubic root of 520359840 is about 804.3305984297.

The spelling of 520359840 in words is "five hundred twenty million, three hundred fifty-nine thousand, eight hundred forty".