505753272 has 144 divisors (see below), whose sum is σ = 1461774600. Its totient is φ = 157772160.

The previous prime is 505753253. The next prime is 505753291. The reversal of 505753272 is 272357505.

It is a happy number.

505753272 is a `hidden beast` number, since 5 + 0 + 57 + 532 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (505753253) and next prime (505753291).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3860647 + ... + 3860777.

Almost surely, 2^505753272 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 505753272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730887300).

505753272 is an abundant number, since it is smaller than the sum of its proper divisors (956021328).

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

505753272 is a wasteful number, since it uses less digits than its factorization.

505753272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 505753272 is about 22488.9588909758. The cubic root of 505753272 is about 796.7331737999.

The spelling of 505753272 in words is "five hundred five million, seven hundred fifty-three thousand, two hundred seventy-two".