509464905 has 8 divisors (see below), whose sum is σ = 815143872. Its totient is φ = 271714608.

The previous prime is 509464889. The next prime is 509464909.

It is a happy number.

509464905 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509464905 - 2⁴ = 509464889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509464909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16982149 + ... + 16982178.

It is an arithmetic number, because the mean of its divisors is an integer number (101892984).

Almost surely, 2^509464905 is an apocalyptic number.

It is an amenable number.

509464905 is a deficient number, since it is larger than the sum of its proper divisors (305678967).

509464905 is a wasteful number, since it uses less digits than its factorization.

509464905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33964335.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 509464905 is about 22571.3292696731. The cubic root of 509464905 is about 798.6774528119.

The spelling of 509464905 in words is "five hundred nine million, four hundred sixty-four thousand, nine hundred five".