505348272 has 360 divisors, whose sum is σ = 1764907872. Its totient is φ = 133816320.

The previous prime is 505348271. The next prime is 505348279. The reversal of 505348272 is 272843505.

505348272 is a `hidden beast` number, since 50 + 534 + 8 + 2 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (505348271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5209728 + ... + 5209824.

Almost surely, 2^505348272 is an apocalyptic number.

505348272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505348272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882453936).

505348272 is an abundant number, since it is smaller than the sum of its proper divisors (1259559600).

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

505348272 is a wasteful number, since it uses less digits than its factorization.

505348272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 505348272 is about 22479.9526689893. The cubic root of 505348272 is about 796.5204461563.

The spelling of 505348272 in words is "five hundred five million, three hundred forty-eight thousand, two hundred seventy-two".