509691960 has 384 divisors, whose sum is σ = 1909785600. Its totient is φ = 120637440.

The previous prime is 509691947. The next prime is 509691971. The reversal of 509691960 is 69196905.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7178725 + ... + 7178795.

It is an arithmetic number, because the mean of its divisors is an integer number (4973400).

Almost surely, 2^509691960 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 509691960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954892800).

509691960 is an abundant number, since it is smaller than the sum of its proper divisors (1400093640).

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

509691960 is a wasteful number, since it uses less digits than its factorization.

509691960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 509691960 is about 22576.3584308896. The cubic root of 509691960 is about 798.7960849779.

The spelling of 509691960 in words is "five hundred nine million, six hundred ninety-one thousand, nine hundred sixty".