509148920 has 64 divisors (see below), whose sum is σ = 1312588800. Its totient is φ = 174119040.

The previous prime is 509148901. The next prime is 509148931. The reversal of 509148920 is 29841905.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118571 + ... + 122789.

It is an arithmetic number, because the mean of its divisors is an integer number (20509200).

Almost surely, 2^509148920 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 509148920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656294400).

509148920 is an abundant number, since it is smaller than the sum of its proper divisors (803439880).

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

509148920 is a wasteful number, since it uses less digits than its factorization.

509148920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 509148920 is about 22564.3284854657. The cubic root of 509148920 is about 798.5122976420.

The spelling of 509148920 in words is "five hundred nine million, one hundred forty-eight thousand, nine hundred twenty".