506376 has 48 divisors (see below), whose sum is σ = 1479660. Its totient is φ = 155520.

The previous prime is 506357. The next prime is 506381. The reversal of 506376 is 673605.

It can be written as a sum of positive squares in 2 ways, for example, as 476100 + 30276 = 690^2 + 174^2 .

It is an unprimeable number.

506376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666 + ... + 1206.

2⁵⁰⁶³⁷⁶ 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 506376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739830).

506376 is an abundant number, since it is smaller than the sum of its proper divisors (973284).

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

506376 is a wasteful number, since it uses less digits than its factorization.

506376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 506376 is about 711.6010118037. The cubic root of 506376 is about 79.7060042380.

The spelling of 506376 in words is "five hundred six thousand, three hundred seventy-six".