460684896 has 96 divisors (see below), whose sum is σ = 1401136128. Its totient is φ = 129807360.

The previous prime is 460684883. The next prime is 460684909. The reversal of 460684896 is 698486064.

It is an interprime number because it is at equal distance from previous prime (460684883) and next prime (460684909).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44361 + ... + 53751.

It is an arithmetic number, because the mean of its divisors is an integer number (14595168).

Almost surely, 2^460684896 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 460684896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700568064).

460684896 is an abundant number, since it is smaller than the sum of its proper divisors (940451232).

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

460684896 is a wasteful number, since it uses less digits than its factorization.

460684896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9484 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 460684896 is about 21463.5713710463. The cubic root of 460684896 is about 772.3271900082.

The spelling of 460684896 in words is "four hundred sixty million, six hundred eighty-four thousand, eight hundred ninety-six".