513460 has 12 divisors (see below), whose sum is σ = 1078308. Its totient is φ = 205376.

The previous prime is 513439. The next prime is 513473. The reversal of 513460 is 64315.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 195364 = 564^2 + 442^2 .

It is a congruent number.

It is an unprimeable number.

513460 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 3 ways as a sum of consecutive naturals, for example, 12817 + ... + 12856.

It is an arithmetic number, because the mean of its divisors is an integer number (89859).

2⁵¹³⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

513460 is an abundant number, since it is smaller than the sum of its proper divisors (564848).

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

513460 is a wasteful number, since it uses less digits than its factorization.

513460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25682 (or 25680 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 513460 is about 716.5612325545. The cubic root of 513460 is about 80.0759695018.

Adding to 513460 its reverse (64315), we get a palindrome (577775).

The spelling of 513460 in words is "five hundred thirteen thousand, four hundred sixty".