507348 has 36 divisors (see below), whose sum is σ = 1359540. Its totient is φ = 158976.

The previous prime is 507347. The next prime is 507349. The reversal of 507348 is 843705.

It is an interprime number because it is at equal distance from previous prime (507347) and next prime (507349).

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 161604 = 588^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507347) 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 11 ways as a sum of consecutive naturals, for example, 198 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (37765).

2⁵⁰⁷³⁴⁸ 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 507348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679770).

507348 is an abundant number, since it is smaller than the sum of its proper divisors (852192).

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

507348 is a wasteful number, since it uses less digits than its factorization.

507348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 507348 is about 712.2836513637. The cubic root of 507348 is about 79.7569707910.

The spelling of 507348 in words is "five hundred seven thousand, three hundred forty-eight".