516640400 has 60 divisors (see below), whose sum is σ = 1306575600. Its totient is φ = 195776640.

The previous prime is 516640373. The next prime is 516640433. The reversal of 516640400 is 4046615.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 516640400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26390 + ... + 41589.

It is an arithmetic number, because the mean of its divisors is an integer number (21776260).

Almost surely, 2^516640400 is an apocalyptic number.

516640400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516640400 is an abundant number, since it is smaller than the sum of its proper divisors (789935200).

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

516640400 is a wasteful number, since it uses less digits than its factorization.

516640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68016 (or 68005 counting only the distinct ones).

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

The square root of 516640400 is about 22729.7250313329. The cubic root of 516640400 is about 802.4096099381.

The spelling of 516640400 in words is "five hundred sixteen million, six hundred forty thousand, four hundred".