516404000 has 96 divisors (see below), whose sum is σ = 1450141056. Its totient is φ = 177043200.

The previous prime is 516403997. The next prime is 516404029. The reversal of 516404000 is 404615.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18779 + ... + 37221.

It is an arithmetic number, because the mean of its divisors is an integer number (15105636).

Almost surely, 2^516404000 is an apocalyptic number.

516404000 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 516404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725070528).

516404000 is an abundant number, since it is smaller than the sum of its proper divisors (933737056).

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

516404000 is a wasteful number, since it uses less digits than its factorization.

516404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18475 (or 18457 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 516404000 is about 22724.5241974392. The cubic root of 516404000 is about 802.2872046369.

Adding to 516404000 its reverse (404615), we get a palindrome (516808615).

The spelling of 516404000 in words is "five hundred sixteen million, four hundred four thousand".