505632 has 48 divisors (see below), whose sum is σ = 1391040. Its totient is φ = 160512.

The previous prime is 505619. The next prime is 505633. The reversal of 505632 is 236505.

505632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×505632³ = 387815273339387904, which contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 505599 and 505608.

It is not an unprimeable number, because it can be changed into a prime (505633) by changing a digit.

505632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2094 + ... + 2322.

It is an arithmetic number, because the mean of its divisors is an integer number (28980).

2⁵⁰⁵⁶³² 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 505632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695520).

505632 is an abundant number, since it is smaller than the sum of its proper divisors (885408).

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

505632 is a wasteful number, since it uses less digits than its factorization.

505632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 505632 is about 711.0780547872. The cubic root of 505632 is about 79.6669487180. Note that the first 3 decimals are identical.

The spelling of 505632 in words is "five hundred five thousand, six hundred thirty-two".