509040000 has 480 divisors, whose sum is σ = 2112636240. Its totient is φ = 115200000.

The previous prime is 509039911. The next prime is 509040011. The reversal of 509040000 is 40905.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5039950 + ... + 5040050.

Almost surely, 2^509040000 is an apocalyptic number.

509040000 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 509040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056318120).

509040000 is an abundant number, since it is smaller than the sum of its proper divisors (1603596240).

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

509040000 is a wasteful number, since it uses less digits than its factorization.

509040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 509040000 is about 22561.9148123558. The cubic root of 509040000 is about 798.4553528342.

Adding to 509040000 its reverse (40905), we get a palindrome (509080905).

The spelling of 509040000 in words is "five hundred nine million, forty thousand".