505408 has 28 divisors (see below), whose sum is σ = 1028700. Its totient is φ = 246272.

The previous prime is 505399. The next prime is 505409. The reversal of 505408 is 804505.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 304704 = 448^2 + 552^2 .

It is not an unprimeable number, because it can be changed into a prime (505409) by changing a digit.

505408 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 3 ways as a sum of consecutive naturals, for example, 3318 + ... + 3466.

2⁵⁰⁵⁴⁰⁸ 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 505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514350).

505408 is an abundant number, since it is smaller than the sum of its proper divisors (523292).

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

505408 is a wasteful number, since it uses less digits than its factorization.

505408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 505408 is about 710.9205300172. The cubic root of 505408 is about 79.6551825637.

It can be divided in two parts, 50 and 5408, that multiplied together give a square (270400 = 520²).

The spelling of 505408 in words is "five hundred five thousand, four hundred eight".