520055424 has 384 divisors, whose sum is σ = 1855828800. Its totient is φ = 142829568.

The previous prime is 520055399. The next prime is 520055453. The reversal of 520055424 is 424550025.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 6265687 + ... + 6265769.

Almost surely, 2^520055424 is an apocalyptic number.

520055424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927914400).

520055424 is an abundant number, since it is smaller than the sum of its proper divisors (1335773376).

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

520055424 is a wasteful number, since it uses less digits than its factorization.

520055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 520055424 is about 22804.7237211943. The cubic root of 520055424 is about 804.1737205367.

The spelling of 520055424 in words is "five hundred twenty million, fifty-five thousand, four hundred twenty-four".