506160000 has 480 divisors, whose sum is σ = 1967651400. Its totient is φ = 124416000.

The previous prime is 506159987. The next prime is 506160007. The reversal of 506160000 is 61605.

506160000 is a `hidden beast` number, since 5 + 0 + 61 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506160007) 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 59 ways as a sum of consecutive naturals, for example, 13679982 + ... + 13680018.

Almost surely, 2^506160000 is an apocalyptic number.

506160000 is a gapful number since it is divisible by the number (50) 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 506160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983825700).

506160000 is an abundant number, since it is smaller than the sum of its proper divisors (1461491400).

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

506160000 is a wasteful number, since it uses less digits than its factorization.

506160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 506160000 is about 22497.9999111032. Note that the first 4 decimals coincide. The cubic root of 506160000 is about 796.9466948182.

The spelling of 506160000 in words is "five hundred six million, one hundred sixty thousand".