509029920 has 480 divisors, whose sum is σ = 2131024896. Its totient is φ = 111974400.

The previous prime is 509029919. The next prime is 509029957. The reversal of 509029920 is 29920905.

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

It is a super-2 number, since 2×509029920² = 518222918910412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2812230 + ... + 2812410.

Almost surely, 2^509029920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065512448).

509029920 is an abundant number, since it is smaller than the sum of its proper divisors (1621994976).

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

509029920 is a wasteful number, since it uses less digits than its factorization.

509029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 509029920 is about 22561.6914259547. The cubic root of 509029920 is about 798.4500824671.

The spelling of 509029920 in words is "five hundred nine million, twenty-nine thousand, nine hundred twenty".