513468 has 36 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 160896.

The previous prime is 513439. The next prime is 513473. The reversal of 513468 is 864315.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513468.

It is an unprimeable number.

513468 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 193 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁵¹³⁴⁶⁸ 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 513468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).

513468 is an abundant number, since it is smaller than the sum of its proper divisors (862452).

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

513468 is a wasteful number, since it uses less digits than its factorization.

513468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 861 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 513468 is about 716.5668147493. The cubic root of 513468 is about 80.0763853760.

The spelling of 513468 in words is "five hundred thirteen thousand, four hundred sixty-eight".