506504160 has 288 divisors, whose sum is σ = 1852538688. Its totient is φ = 125706240.

The previous prime is 506504107. The next prime is 506504161. The reversal of 506504160 is 61405605.

It is a happy number.

506504160 is a `hidden beast` number, since 5 + 0 + 650 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506504161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357734 + ... + 1358106.

It is an arithmetic number, because the mean of its divisors is an integer number (6432426).

Almost surely, 2^506504160 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 506504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926269344).

506504160 is an abundant number, since it is smaller than the sum of its proper divisors (1346034528).

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

506504160 is a wasteful number, since it uses less digits than its factorization.

506504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 506504160 is about 22505.6472912911. The cubic root of 506504160 is about 797.1272800308.

Adding to 506504160 its reverse (61405605), we get a palindrome (567909765).

The spelling of 506504160 in words is "five hundred six million, five hundred four thousand, one hundred sixty".