460833705 has 128 divisors (see below), whose sum is σ = 915356160. Its totient is φ = 221709312.

The previous prime is 460833701. The next prime is 460833707. The reversal of 460833705 is 507338064.

It is a happy number.

It is not a de Polignac number, because 460833705 - 2² = 460833701 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 460833705.

It is not an unprimeable number, because it can be changed into a prime (460833701) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6878082 + ... + 6878148.

It is an arithmetic number, because the mean of its divisors is an integer number (7151220).

Almost surely, 2^460833705 is an apocalyptic number.

460833705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460833705 is a deficient number, since it is larger than the sum of its proper divisors (454522455).

460833705 is an equidigital number, since it uses as much as digits as its factorization.

460833705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 460833705 is about 21467.0376391341. The cubic root of 460833705 is about 772.4103392970.

The spelling of 460833705 in words is "four hundred sixty million, eight hundred thirty-three thousand, seven hundred five".