505112436 has 84 divisors (see below), whose sum is σ = 1341924192. Its totient is φ = 166262544.

The previous prime is 505112429. The next prime is 505112437. The reversal of 505112436 is 634211505.

505112436 is a `hidden beast` number, since 505 + 1 + 124 + 36 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505112437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 240985 + ... + 243071.

It is an arithmetic number, because the mean of its divisors is an integer number (15975288).

Almost surely, 2^505112436 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 505112436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670962096).

505112436 is an abundant number, since it is smaller than the sum of its proper divisors (836811756).

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

505112436 is a wasteful number, since it uses less digits than its factorization.

505112436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 505112436 is about 22474.7065831792. The cubic root of 505112436 is about 796.3965201198.

The spelling of 505112436 in words is "five hundred five million, one hundred twelve thousand, four hundred thirty-six".