506414 has 16 divisors (see below), whose sum is σ = 807840. Its totient is φ = 237600.

The previous prime is 506393. The next prime is 506417. The reversal of 506414 is 414605.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506414.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4592 + ... + 4700.

It is an arithmetic number, because the mean of its divisors is an integer number (50490).

2⁵⁰⁶⁴¹⁴ is an apocalyptic number.

506414 is a deficient number, since it is larger than the sum of its proper divisors (301426).

506414 is a wasteful number, since it uses less digits than its factorization.

506414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 506414 is about 711.6277116583. The cubic root of 506414 is about 79.7079979820.

Subtracting from 506414 its reverse (414605), we obtain a square (91809 = 303²).

The spelling of 506414 in words is "five hundred six thousand, four hundred fourteen".