516456 has 40 divisors (see below), whose sum is σ = 1448370. Its totient is φ = 171936.

The previous prime is 516449. The next prime is 516457. The reversal of 516456 is 654615.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 443556 + 72900 = 666^2 + 270^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (516457) by changing a digit.

516456 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 9 ways as a sum of consecutive naturals, for example, 250 + ... + 1046.

2⁵¹⁶⁴⁵⁶ 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 516456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724185).

516456 is an abundant number, since it is smaller than the sum of its proper divisors (931914).

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

516456 is a wasteful number, since it uses less digits than its factorization.

516456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 516456 is about 718.6487319964. The cubic root of 516456 is about 80.2314132865.

It can be divided in two parts, 5 and 16456, that added together give a palindrome (16461).

The spelling of 516456 in words is "five hundred sixteen thousand, four hundred fifty-six".