460228320 has 144 divisors (see below), whose sum is σ = 1597443120. Its totient is φ = 120625152.

The previous prime is 460228313. The next prime is 460228331. The reversal of 460228320 is 23822064.

460228320 is a `hidden beast` number, since 4 + 602 + 28 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82252 + ... + 87668.

It is an arithmetic number, because the mean of its divisors is an integer number (11093355).

Almost surely, 2^460228320 is an apocalyptic number.

460228320 is a gapful number since it is divisible by the number (40) 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 460228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798721560).

460228320 is an abundant number, since it is smaller than the sum of its proper divisors (1137214800).

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

460228320 is a wasteful number, since it uses less digits than its factorization.

460228320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5497 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 460228320 is about 21452.9326666542. The cubic root of 460228320 is about 772.0719594301.

The spelling of 460228320 in words is "four hundred sixty million, two hundred twenty-eight thousand, three hundred twenty".