465083505 has 32 divisors (see below), whose sum is σ = 827733120. Its totient is φ = 247769280.

The previous prime is 465083491. The next prime is 465083537. The reversal of 465083505 is 505380564.

It is not a de Polignac number, because 465083505 - 2¹¹ = 465081457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 465083505.

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, 194970 + ... + 197340.

It is an arithmetic number, because the mean of its divisors is an integer number (25866660).

Almost surely, 2^465083505 is an apocalyptic number.

465083505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465083505 is a deficient number, since it is larger than the sum of its proper divisors (362649615).

465083505 is a wasteful number, since it uses less digits than its factorization.

465083505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 465083505 is about 21565.7947917530. The cubic root of 465083505 is about 774.7774622934. Note that the first 3 decimals are identical.

The spelling of 465083505 in words is "four hundred sixty-five million, eighty-three thousand, five hundred five".