509230800 has 540 divisors, whose sum is σ = 2048452224. Its totient is φ = 121305600.

The previous prime is 509230793. The next prime is 509230817. The reversal of 509230800 is 8032905.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16426785 + ... + 16426815.

Almost surely, 2^509230800 is an apocalyptic number.

509230800 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 509230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024226112).

509230800 is an abundant number, since it is smaller than the sum of its proper divisors (1539221424).

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

509230800 is a wasteful number, since it uses less digits than its factorization.

509230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 509230800 is about 22566.1427807235. The cubic root of 509230800 is about 798.5551002353. Note that the first 3 decimals are identical.

The spelling of 509230800 in words is "five hundred nine million, two hundred thirty thousand, eight hundred".