509490480 has 120 divisors (see below), whose sum is σ = 1651488048. Its totient is φ = 129924608.

The previous prime is 509490479. The next prime is 509490539. The reversal of 509490480 is 84094905.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124954 + ... + 128966.

Almost surely, 2^509490480 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 509490480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825744024).

509490480 is an abundant number, since it is smaller than the sum of its proper divisors (1141997568).

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

509490480 is a wasteful number, since it uses less digits than its factorization.

509490480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 509490480 is about 22571.8957998658. The cubic root of 509490480 is about 798.6908170520.

The spelling of 509490480 in words is "five hundred nine million, four hundred ninety thousand, four hundred eighty".