460616805 has 48 divisors (see below), whose sum is σ = 876680064. Its totient is φ = 221869440.

The previous prime is 460616801. The next prime is 460616809. The reversal of 460616805 is 508616064.

It is an interprime number because it is at equal distance from previous prime (460616801) and next prime (460616809).

It is not a de Polignac number, because 460616805 - 2² = 460616801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 460616805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460616801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74752 + ... + 80678.

It is an arithmetic number, because the mean of its divisors is an integer number (18264168).

Almost surely, 2^460616805 is an apocalyptic number.

460616805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460616805 is a deficient number, since it is larger than the sum of its proper divisors (416063259).

460616805 is a wasteful number, since it uses less digits than its factorization.

460616805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6106 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 460616805 is about 21461.9851132182. The cubic root of 460616805 is about 772.2891371567.

The spelling of 460616805 in words is "four hundred sixty million, six hundred sixteen thousand, eight hundred five".