505035264 has 80 divisors (see below), whose sum is σ = 1351440288. Its totient is φ = 167596032.

The previous prime is 505035263. The next prime is 505035299. The reversal of 505035264 is 462530505.

It is not an unprimeable number, because it can be changed into a prime (505035263) 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 7 ways as a sum of consecutive naturals, for example, 424879 + ... + 426065.

Almost surely, 2^505035264 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 505035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675720144).

505035264 is an abundant number, since it is smaller than the sum of its proper divisors (846405024).

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

505035264 is a wasteful number, since it uses less digits than its factorization.

505035264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 505035264 is about 22472.9896542494. The cubic root of 505035264 is about 796.3559597494.

Adding to 505035264 its reverse (462530505), we get a palindrome (967565769).

The spelling of 505035264 in words is "five hundred five million, thirty-five thousand, two hundred sixty-four".