505735945 has 32 divisors (see below), whose sum is σ = 714720384. Its totient is φ = 338688000.

The previous prime is 505735927. The next prime is 505735957. The reversal of 505735945 is 549537505.

It is not a de Polignac number, because 505735945 - 2⁵ = 505735913 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480670 + ... + 481720.

It is an arithmetic number, because the mean of its divisors is an integer number (22335012).

Almost surely, 2^505735945 is an apocalyptic number.

505735945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505735945 is a deficient number, since it is larger than the sum of its proper divisors (208984439).

505735945 is a wasteful number, since it uses less digits than its factorization.

505735945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753.

The product of its (nonzero) digits is 472500, while the sum is 43.

The square root of 505735945 is about 22488.5736541916. The cubic root of 505735945 is about 796.7240750594.

The spelling of 505735945 in words is "five hundred five million, seven hundred thirty-five thousand, nine hundred forty-five".