509075424 has 288 divisors, whose sum is σ = 1743565824. Its totient is φ = 138839040.

The previous prime is 509075419. The next prime is 509075431. The reversal of 509075424 is 424570905.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 1935517 + ... + 1935779.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2^509075424 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 509075424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912).

509075424 is an abundant number, since it is smaller than the sum of its proper divisors (1234490400).

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

509075424 is a wasteful number, since it uses less digits than its factorization.

509075424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 509075424 is about 22562.6998384502. The cubic root of 509075424 is about 798.4738738584.

The spelling of 509075424 in words is "five hundred nine million, seventy-five thousand, four hundred twenty-four".