509429920 has 96 divisors (see below), whose sum is σ = 1249758720. Its totient is φ = 196085760.

The previous prime is 509429911. The next prime is 509429923. The reversal of 509429920 is 29924905.

509429920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (509429923) 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 15 ways as a sum of consecutive naturals, for example, 517749 + ... + 518731.

It is an arithmetic number, because the mean of its divisors is an integer number (13018320).

Almost surely, 2^509429920 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 509429920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624879360).

509429920 is an abundant number, since it is smaller than the sum of its proper divisors (740328800).

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

509429920 is a wasteful number, since it uses less digits than its factorization.

509429920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 509429920 is about 22570.5542687813. The cubic root of 509429920 is about 798.6591706430.

The spelling of 509429920 in words is "five hundred nine million, four hundred twenty-nine thousand, nine hundred twenty".