516400 has 30 divisors (see below), whose sum is σ = 1241612. Its totient is φ = 206400.

The previous prime is 516391. The next prime is 516407. The reversal of 516400 is 4615.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (516407) by changing a digit.

516400 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 5 ways as a sum of consecutive naturals, for example, 246 + ... + 1045.

2⁵¹⁶⁴⁰⁰ is an apocalyptic number.

516400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516400 is an abundant number, since it is smaller than the sum of its proper divisors (725212).

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

516400 is a wasteful number, since it uses less digits than its factorization.

516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 516400 is about 718.6097689289. The cubic root of 516400 is about 80.2285133160.

The spelling of 516400 in words is "five hundred sixteen thousand, four hundred".