460555460 has 48 divisors (see below), whose sum is σ = 993731760. Its totient is φ = 179189760.

The previous prime is 460555423. The next prime is 460555481. The reversal of 460555460 is 64555064.

It can be written as a sum of positive squares in 8 ways, for example, as 15936064 + 444619396 = 3992^2 + 21086^2 .

It is a super-2 number, since 2×460555460² = 424222663471623200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 460555460.

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, 374126 + ... + 375354.

It is an arithmetic number, because the mean of its divisors is an integer number (20702745).

Almost surely, 2^460555460 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 460555460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496865880).

460555460 is an abundant number, since it is smaller than the sum of its proper divisors (533176300).

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

460555460 is a wasteful number, since it uses less digits than its factorization.

460555460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 460555460 is about 21460.5559107867. Note that the first 3 decimals coincide. The cubic root of 460555460 is about 772.2548511153.

It can be divided in two parts, 46055 and 5460, that added together give a palindrome (51515).

The spelling of 460555460 in words is "four hundred sixty million, five hundred fifty-five thousand, four hundred sixty".