505319472 has 160 divisors (see below), whose sum is σ = 1678940160. Its totient is φ = 144307008.

The previous prime is 505319467. The next prime is 505319473. The reversal of 505319472 is 274913505.

505319472 is a `hidden beast` number, since 50 + 531 + 9 + 4 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505319473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243913 + ... + 245975.

It is an arithmetic number, because the mean of its divisors is an integer number (10493376).

Almost surely, 2^505319472 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 505319472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839470080).

505319472 is an abundant number, since it is smaller than the sum of its proper divisors (1173620688).

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

505319472 is an equidigital number, since it uses as much as digits as its factorization.

505319472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 505319472 is about 22479.3120891187. The cubic root of 505319472 is about 796.5053145293.

The spelling of 505319472 in words is "five hundred five million, three hundred nineteen thousand, four hundred seventy-two".