505983312 has 60 divisors (see below), whose sum is σ = 1429328160. Its totient is φ = 167079744.

The previous prime is 505983311. The next prime is 505983343. The reversal of 505983312 is 213389505.

505983312 is a `hidden beast` number, since 50 + 598 + 3 + 3 + 12 = 666.

It is a super-2 number, since 2×505983312² = 512038224044978688, which contains 22 as substring.

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 (505983311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1012 + ... + 31827.

It is an arithmetic number, because the mean of its divisors is an integer number (23822136).

Almost surely, 2^505983312 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 505983312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714664080).

505983312 is an abundant number, since it is smaller than the sum of its proper divisors (923344848).

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

505983312 is a wasteful number, since it uses less digits than its factorization.

505983312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32960 (or 32951 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 505983312 is about 22494.0728193006. The cubic root of 505983312 is about 796.8539525329.

The spelling of 505983312 in words is "five hundred five million, nine hundred eighty-three thousand, three hundred twelve".