506415 has 48 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 209664.

The previous prime is 506393. The next prime is 506417. The reversal of 506415 is 514605.

It is a happy number.

It is not a de Polignac number, because 506415 - 2⁶ = 506351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 506391 and 506400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9529 + ... + 9581.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2⁵⁰⁶⁴¹⁵ is an apocalyptic number.

506415 is an abundant number, since it is smaller than the sum of its proper divisors (527793).

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

506415 is a wasteful number, since it uses less digits than its factorization.

506415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 506415 is about 711.6284142725. The cubic root of 506415 is about 79.7080504476.

The spelling of 506415 in words is "five hundred six thousand, four hundred fifteen".