509090688 has 96 divisors (see below), whose sum is σ = 1469685360. Its totient is φ = 169150464.

The previous prime is 509090677. The next prime is 509090719. The reversal of 509090688 is 886090905.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 525981 + ... + 526947.

Almost surely, 2^509090688 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 509090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734842680).

509090688 is an abundant number, since it is smaller than the sum of its proper divisors (960594672).

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

509090688 is a wasteful number, since it uses less digits than its factorization.

509090688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 509090688 is about 22563.0380933065. The cubic root of 509090688 is about 798.4818541974.

The spelling of 509090688 in words is "five hundred nine million, ninety thousand, six hundred eighty-eight".