509713470 has 96 divisors (see below), whose sum is σ = 1563494400. Its totient is φ = 112743360.

The previous prime is 509713447. The next prime is 509713489. The reversal of 509713470 is 74317905.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6481 + ... + 32579.

It is an arithmetic number, because the mean of its divisors is an integer number (16286400).

Almost surely, 2^509713470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509713470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781747200).

509713470 is an abundant number, since it is smaller than the sum of its proper divisors (1053780930).

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

509713470 is a wasteful number, since it uses less digits than its factorization.

509713470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26150 (or 26147 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 509713470 is about 22576.8348091578. The cubic root of 509713470 is about 798.8073217402.

The spelling of 509713470 in words is "five hundred nine million, seven hundred thirteen thousand, four hundred seventy".