506302272 has 224 divisors, whose sum is σ = 1791411200. Its totient is φ = 136982016.

The previous prime is 506302259. The next prime is 506302301. The reversal of 506302272 is 272203605.

506302272 is a `hidden beast` number, since 5 + 0 + 630 + 2 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 228723 + ... + 230925.

Almost surely, 2^506302272 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 506302272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895705600).

506302272 is an abundant number, since it is smaller than the sum of its proper divisors (1285108928).

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

506302272 is a wasteful number, since it uses less digits than its factorization.

506302272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 506302272 is about 22501.1615700168. The cubic root of 506302272 is about 797.0213567028.

Adding to 506302272 its reverse (272203605), we get a palindrome (778505877).

The spelling of 506302272 in words is "five hundred six million, three hundred two thousand, two hundred seventy-two".