506451 has 16 divisors (see below), whose sum is σ = 748800. Its totient is φ = 301920.

The previous prime is 506449. The next prime is 506459. The reversal of 506451 is 154605.

It is a happy number.

506451 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 506451 - 2¹ = 506449 is a prime.

506451 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506451.

It is not an unprimeable number, because it can be changed into a prime (506459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3325 + ... + 3473.

It is an arithmetic number, because the mean of its divisors is an integer number (46800).

2⁵⁰⁶⁴⁵¹ is an apocalyptic number.

506451 is a deficient number, since it is larger than the sum of its proper divisors (242349).

506451 is a wasteful number, since it uses less digits than its factorization.

506451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266.

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

The square root of 506451 is about 711.6537079226. The cubic root of 506451 is about 79.7099391633.

It can be divided in two parts, 5064 and 51, that added together give a palindrome (5115).

The spelling of 506451 in words is "five hundred six thousand, four hundred fifty-one".