509493376 has 48 divisors (see below), whose sum is σ = 1180736190. Its totient is φ = 218351616.

The previous prime is 509493371. The next prime is 509493377. The reversal of 509493376 is 673394905.

It can be written as a sum of positive squares in only one way, i.e., 417793600 + 91699776 = 20440^2 + 9576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509493371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34345 + ... + 46888.

Almost surely, 2^509493376 is an apocalyptic number.

509493376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

509493376 is an abundant number, since it is smaller than the sum of its proper divisors (671242814).

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

509493376 is an equidigital number, since it uses as much as digits as its factorization.

509493376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81261 (or 81242 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The square root of 509493376 is about 22571.9599503455. The cubic root of 509493376 is about 798.6923303314.

The spelling of 509493376 in words is "five hundred nine million, four hundred ninety-three thousand, three hundred seventy-six".