506356272 has 50 divisors (see below), whose sum is σ = 1465545708. Its totient is φ = 168784992.

The previous prime is 506356219. The next prime is 506356297. The reversal of 506356272 is 272653605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 194058 + ... + 196649.

Almost surely, 2^506356272 is an apocalyptic number.

It is an amenable number.

506356272 is an abundant number, since it is smaller than the sum of its proper divisors (959189436).

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

506356272 is a wasteful number, since it uses less digits than its factorization.

506356272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390727 (or 390712 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 506356272 is about 22502.3614760762. The cubic root of 506356272 is about 797.0496913068.

The spelling of 506356272 in words is "five hundred six million, three hundred fifty-six thousand, two hundred seventy-two".