507461 has 2 divisors, whose sum is σ = 507462. Its totient is φ = 507460.

The previous prime is 507431. The next prime is 507491. The reversal of 507461 is 164705.

It is a balanced prime because it is at equal distance from previous prime (507431) and next prime (507491).

It can be written as a sum of positive squares in only one way, i.e., 498436 + 9025 = 706^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 507461 - 2¹⁸ = 245317 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (507401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253730 + 253731.

It is an arithmetic number, because the mean of its divisors is an integer number (253731).

2⁵⁰⁷⁴⁶¹ is an apocalyptic number.

It is an amenable number.

507461 is a deficient number, since it is larger than the sum of its proper divisors (1).

507461 is an equidigital number, since it uses as much as digits as its factorization.

507461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 507461 is about 712.3629692790. The cubic root of 507461 is about 79.7628916899.

The spelling of 507461 in words is "five hundred seven thousand, four hundred sixty-one".