505620 has 54 divisors (see below), whose sum is σ = 1563198. Its totient is φ = 132288.

The previous prime is 505619. The next prime is 505633. The reversal of 505620 is 26505.

It can be written as a sum of positive squares in 3 ways, for example, as 138384 + 367236 = 372^2 + 606^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 505593 and 505602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9514 + ... + 9566.

2⁵⁰⁵⁶²⁰ 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 505620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781599).

505620 is an abundant number, since it is smaller than the sum of its proper divisors (1057578).

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

505620 is a wasteful number, since it uses less digits than its factorization.

505620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 505620 is about 711.0696168449. The cubic root of 505620 is about 79.6663184764. Note that the first 3 decimals are identical.

The spelling of 505620 in words is "five hundred five thousand, six hundred twenty".