506303160 has 128 divisors (see below), whose sum is σ = 1710581760. Its totient is φ = 118771200.

The previous prime is 506303143. The next prime is 506303243. The reversal of 506303160 is 61303605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 506303160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34734 + ... + 47106.

It is an arithmetic number, because the mean of its divisors is an integer number (13363920).

Almost surely, 2^506303160 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 506303160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855290880).

506303160 is an abundant number, since it is smaller than the sum of its proper divisors (1204278600).

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

506303160 is a wasteful number, since it uses less digits than its factorization.

506303160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12429 (or 12425 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 506303160 is about 22501.1813023228. The cubic root of 506303160 is about 797.0218226659.

Adding to 506303160 its reverse (61303605), we get a palindrome (567606765).

The spelling of 506303160 in words is "five hundred six million, three hundred three thousand, one hundred sixty".