509293440 has 128 divisors (see below), whose sum is σ = 1803808800. Its totient is φ = 135806976.

The previous prime is 509293417. The next prime is 509293441. The reversal of 509293440 is 44392905.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 509293395 and 509293404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509293441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2544 + ... + 32016.

Almost surely, 2^509293440 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 509293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901904400).

509293440 is an abundant number, since it is smaller than the sum of its proper divisors (1294515360).

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

509293440 is a wasteful number, since it uses less digits than its factorization.

509293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29501 (or 29483 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 509293440 is about 22567.5306580051. The cubic root of 509293440 is about 798.5878420625.

The spelling of 509293440 in words is "five hundred nine million, two hundred ninety-three thousand, four hundred forty".