460545228 has 144 divisors (see below), whose sum is σ = 1379772576. Its totient is φ = 127687680.

The previous prime is 460545223. The next prime is 460545229. The reversal of 460545228 is 822545064.

It is a happy number.

460545228 is a `hidden beast` number, since 4 + 605 + 45 + 2 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 460545192 and 460545201.

It is not an unprimeable number, because it can be changed into a prime (460545223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704950 + ... + 705602.

It is an arithmetic number, because the mean of its divisors is an integer number (9581754).

Almost surely, 2^460545228 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 460545228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689886288).

460545228 is an abundant number, since it is smaller than the sum of its proper divisors (919227348).

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

460545228 is a wasteful number, since it uses less digits than its factorization.

460545228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 460545228 is about 21460.3175186203. The cubic root of 460545228 is about 772.2491321008.

The spelling of 460545228 in words is "four hundred sixty million, five hundred forty-five thousand, two hundred twenty-eight".