513440 has 24 divisors (see below), whose sum is σ = 1213380. Its totient is φ = 205312.

The previous prime is 513439. The next prime is 513473. The reversal of 513440 is 44315.

513440 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 512656 + 784 = 716^2 + 28^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1445 + ... + 1764.

2⁵¹³⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

513440 is an abundant number, since it is smaller than the sum of its proper divisors (699940).

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

513440 is a wasteful number, since it uses less digits than its factorization.

513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 513440 is about 716.5472768771. The cubic root of 513440 is about 80.0749297972.

Adding to 513440 its reverse (44315), we get a palindrome (557755).

The spelling of 513440 in words is "five hundred thirteen thousand, four hundred forty".