512800400 has 120 divisors (see below), whose sum is σ = 1414653504. Its totient is φ = 174988800.

The previous prime is 512800381. The next prime is 512800403. The reversal of 512800400 is 4008215.

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

It is not an unprimeable number, because it can be changed into a prime (512800403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1044155 + ... + 1044645.

Almost surely, 2^512800400 is an apocalyptic number.

512800400 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 512800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707326752).

512800400 is an abundant number, since it is smaller than the sum of its proper divisors (901853104).

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

512800400 is a wasteful number, since it uses less digits than its factorization.

512800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 512800400 is about 22645.0965994848. The cubic root of 512800400 is about 800.4166579575.

Adding to 512800400 its reverse (4008215), we get a palindrome (516808615).

The spelling of 512800400 in words is "five hundred twelve million, eight hundred thousand, four hundred".