505918464 has 88 divisors (see below), whose sum is σ = 1385213088. Its totient is φ = 164044800.

The previous prime is 505918459. The next prime is 505918471. The reversal of 505918464 is 464819505.

It is a super-2 number, since 2×505918464² = 511906984432238592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111439 + ... + 115889.

Almost surely, 2^505918464 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 505918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692606544).

505918464 is an abundant number, since it is smaller than the sum of its proper divisors (879294624).

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

505918464 is a wasteful number, since it uses less digits than its factorization.

505918464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 505918464 is about 22492.6313267256. The cubic root of 505918464 is about 796.8199088589.

The spelling of 505918464 in words is "five hundred five million, nine hundred eighteen thousand, four hundred sixty-four".