512476800 has 384 divisors, whose sum is σ = 1930590720. Its totient is φ = 118272000.

The previous prime is 512476763. The next prime is 512476801. The reversal of 512476800 is 8674215.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512476801) 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 47 ways as a sum of consecutive naturals, for example, 2428695 + ... + 2428905.

It is an arithmetic number, because the mean of its divisors is an integer number (5027580).

Almost surely, 2^512476800 is an apocalyptic number.

512476800 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 512476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965295360).

512476800 is an abundant number, since it is smaller than the sum of its proper divisors (1418113920).

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

512476800 is a wasteful number, since it uses less digits than its factorization.

512476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 512476800 is about 22637.9504372635. The cubic root of 512476800 is about 800.2482562864.

The spelling of 512476800 in words is "five hundred twelve million, four hundred seventy-six thousand, eight hundred".