506332260 has 144 divisors (see below), whose sum is σ = 1763379072. Its totient is φ = 115200000.

The previous prime is 506332259. The next prime is 506332261. The reversal of 506332260 is 62233605.

506332260 is a `hidden beast` number, since 5 + 0 + 633 + 2 + 26 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506332259) and next prime (506332261).

It is not an unprimeable number, because it can be changed into a prime (506332261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315460 + ... + 317060.

It is an arithmetic number, because the mean of its divisors is an integer number (12245688).

Almost surely, 2^506332260 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 506332260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881689536).

506332260 is an abundant number, since it is smaller than the sum of its proper divisors (1257046812).

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

506332260 is a wasteful number, since it uses less digits than its factorization.

506332260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 506332260 is about 22501.8279257486. The cubic root of 506332260 is about 797.0370921016.

Adding to 506332260 its reverse (62233605), we get a palindrome (568565865).

The spelling of 506332260 in words is "five hundred six million, three hundred thirty-two thousand, two hundred sixty".