460462128 has 80 divisors (see below), whose sum is σ = 1362341376. Its totient is φ = 131281920.

The previous prime is 460462109. The next prime is 460462141. The reversal of 460462128 is 821264064.

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, 198093 + ... + 200403.

Almost surely, 2^460462128 is an apocalyptic number.

460462128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460462128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681170688).

460462128 is an abundant number, since it is smaller than the sum of its proper divisors (901879248).

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

460462128 is a wasteful number, since it uses less digits than its factorization.

460462128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 460462128 is about 21458.3812996228. The cubic root of 460462128 is about 772.2026815322.

The spelling of 460462128 in words is "four hundred sixty million, four hundred sixty-two thousand, one hundred twenty-eight".