509428000 has 96 divisors (see below), whose sum is σ = 1317738240. Its totient is φ = 193017600.

The previous prime is 509427983. The next prime is 509428027. The reversal of 509428000 is 824905.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 509428000.

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, 72649 + ... + 79351.

It is an arithmetic number, because the mean of its divisors is an integer number (13726440).

Almost surely, 2^509428000 is an apocalyptic number.

509428000 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 509428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658869120).

509428000 is an abundant number, since it is smaller than the sum of its proper divisors (808310240).

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

509428000 is a wasteful number, since it uses less digits than its factorization.

509428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6747 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 509428000 is about 22570.5117354481. The cubic root of 509428000 is about 798.6581672812.

The spelling of 509428000 in words is "five hundred nine million, four hundred twenty-eight thousand".