460120128 has 112 divisors (see below), whose sum is σ = 1327440576. Its totient is φ = 139806720.

The previous prime is 460120127. The next prime is 460120159. The reversal of 460120128 is 821021064.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 460120098 and 460120107.

It is not an unprimeable number, because it can be changed into a prime (460120127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206058 + ... + 208278.

It is an arithmetic number, because the mean of its divisors is an integer number (11852148).

Almost surely, 2^460120128 is an apocalyptic number.

460120128 is a gapful number since it is divisible by the number (48) 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 460120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663720288).

460120128 is an abundant number, since it is smaller than the sum of its proper divisors (867320448).

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

460120128 is a wasteful number, since it uses less digits than its factorization.

460120128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2322 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 460120128 is about 21450.4109051552. The cubic root of 460120128 is about 772.0114542763.

The spelling of 460120128 in words is "four hundred sixty million, one hundred twenty thousand, one hundred twenty-eight".