516470400 has 288 divisors, whose sum is σ = 1874433600. Its totient is φ = 135383040.

The previous prime is 516470351. The next prime is 516470411. The reversal of 516470400 is 4074615.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable 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 35 ways as a sum of consecutive naturals, for example, 2275087 + ... + 2275313.

It is an arithmetic number, because the mean of its divisors is an integer number (6508450).

Almost surely, 2^516470400 is an apocalyptic number.

516470400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937216800).

516470400 is an abundant number, since it is smaller than the sum of its proper divisors (1357963200).

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

516470400 is a wasteful number, since it uses less digits than its factorization.

516470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 516470400 is about 22725.9851271623. The cubic root of 516470400 is about 802.3215895934.

The spelling of 516470400 in words is "five hundred sixteen million, four hundred seventy thousand, four hundred".