460228032 has 168 divisors, whose sum is σ = 1515221760. Its totient is φ = 132088320.

The previous prime is 460227997. The next prime is 460228039. The reversal of 460228032 is 230822064.

460228032 is a `hidden beast` number, since 4 + 602 + 28 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 460227987 and 460228005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460228039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118473 + ... + 122295.

Almost surely, 2^460228032 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 460228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757610880).

460228032 is an abundant number, since it is smaller than the sum of its proper divisors (1054993728).

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

460228032 is a wasteful number, since it uses less digits than its factorization.

460228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3858 counting only the distinct ones).

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

The square root of 460228032 is about 21452.9259542842. The cubic root of 460228032 is about 772.0717983820.

The spelling of 460228032 in words is "four hundred sixty million, two hundred twenty-eight thousand, thirty-two".