516464 has 30 divisors (see below), whose sum is σ = 1089216. Its totient is φ = 237120.

The previous prime is 516457. The next prime is 516469. The reversal of 516464 is 464615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2609 + ... + 2799.

2⁵¹⁶⁴⁶⁴ 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 516464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544608).

516464 is an abundant number, since it is smaller than the sum of its proper divisors (572752).

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

516464 is a wasteful number, since it uses less digits than its factorization.

516464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 516464 is about 718.6542979764. The cubic root of 516464 is about 80.2318275509.

The spelling of 516464 in words is "five hundred sixteen thousand, four hundred sixty-four".