460861128 has 192 divisors, whose sum is σ = 1586457600. Its totient is φ = 117573120.

The previous prime is 460861123. The next prime is 460861133. The reversal of 460861128 is 821168064.

460861128 is a `hidden beast` number, since 460 + 86 + 112 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (460861123) and next prime (460861133).

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 = 460861092 and 460861101.

It is not an unprimeable number, because it can be changed into a prime (460861123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201978 + ... + 204246.

It is an arithmetic number, because the mean of its divisors is an integer number (8262800).

Almost surely, 2^460861128 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 460861128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793228800).

460861128 is an abundant number, since it is smaller than the sum of its proper divisors (1125596472).

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

460861128 is a wasteful number, since it uses less digits than its factorization.

460861128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 460861128 is about 21467.6763530663. The cubic root of 460861128 is about 772.4256603613.

The spelling of 460861128 in words is "four hundred sixty million, eight hundred sixty-one thousand, one hundred twenty-eight".