509480412 has 144 divisors (see below), whose sum is σ = 1491990528. Its totient is φ = 132387840.

The previous prime is 509480371. The next prime is 509480431. The reversal of 509480412 is 214084905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752218 + ... + 752894.

Almost surely, 2^509480412 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 509480412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745995264).

509480412 is an abundant number, since it is smaller than the sum of its proper divisors (982510116).

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

509480412 is a wasteful number, since it uses less digits than its factorization.

509480412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 509480412 is about 22571.6727780641. The cubic root of 509480412 is about 798.6855560626.

The spelling of 509480412 in words is "five hundred nine million, four hundred eighty thousand, four hundred twelve".