509052960 has 288 divisors, whose sum is σ = 1902071808. Its totient is φ = 123217920.

The previous prime is 509052937. The next prime is 509052961. The reversal of 509052960 is 69250905.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (509052961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1328929 + ... + 1329311.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^509052960 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 509052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951035904).

509052960 is an abundant number, since it is smaller than the sum of its proper divisors (1393018848).

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

509052960 is a wasteful number, since it uses less digits than its factorization.

509052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 509052960 is about 22562.2020201930. The cubic root of 509052960 is about 798.4621289183.

The spelling of 509052960 in words is "five hundred nine million, fifty-two thousand, nine hundred sixty".