520416468 has 192 divisors, whose sum is σ = 1637744640. Its totient is φ = 140745600.

The previous prime is 520416431. The next prime is 520416473. The reversal of 520416468 is 864614025.

520416468 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 1 + 646 + 8 = 666.

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 63 ways as a sum of consecutive naturals, for example, 478221 + ... + 479307.

It is an arithmetic number, because the mean of its divisors is an integer number (8529920).

Almost surely, 2^520416468 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 520416468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818872320).

520416468 is an abundant number, since it is smaller than the sum of its proper divisors (1117328172).

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

520416468 is a wasteful number, since it uses less digits than its factorization.

520416468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 520416468 is about 22812.6383393066. The cubic root of 520416468 is about 804.3597743816.

The spelling of 520416468 in words is "five hundred twenty million, four hundred sixteen thousand, four hundred sixty-eight".