506464 has 72 divisors (see below), whose sum is σ = 1292760. Its totient is φ = 193536.

The previous prime is 506461. The next prime is 506479. The reversal of 506464 is 464605.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26647 + ... + 26665.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2⁵⁰⁶⁴⁶⁴ 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 506464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646380).

506464 is an abundant number, since it is smaller than the sum of its proper divisors (786296).

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

506464 is a wasteful number, since it uses less digits than its factorization.

506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 506464 is about 711.6628415198. The cubic root of 506464 is about 79.7106211775.

The spelling of 506464 in words is "five hundred six thousand, four hundred sixty-four".