460430268 has 48 divisors (see below), whose sum is σ = 1134483840. Its totient is φ = 144936000.

The previous prime is 460430237. The next prime is 460430273. The reversal of 460430268 is 862034064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72418 + ... + 78518.

It is an arithmetic number, because the mean of its divisors is an integer number (23635080).

Almost surely, 2^460430268 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 460430268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567241920).

460430268 is an abundant number, since it is smaller than the sum of its proper divisors (674053572).

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

460430268 is a wasteful number, since it uses less digits than its factorization.

460430268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 460430268 is about 21457.6389195084. The cubic root of 460430268 is about 772.1848712040.

The spelling of 460430268 in words is "four hundred sixty million, four hundred thirty thousand, two hundred sixty-eight".