461302128 has 100 divisors (see below), whose sum is σ = 1525906800. Its totient is φ = 131798016.

The previous prime is 461302097. The next prime is 461302139. The reversal of 461302128 is 821203164.

461302128 is a `hidden beast` number, since 4 + 613 + 0 + 21 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16353 + ... + 34496.

It is an arithmetic number, because the mean of its divisors is an integer number (15259068).

Almost surely, 2^461302128 is an apocalyptic number.

461302128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461302128 is an abundant number, since it is smaller than the sum of its proper divisors (1064604672).

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

461302128 is a wasteful number, since it uses less digits than its factorization.

461302128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50876 (or 50861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 461302128 is about 21477.9451531100. The cubic root of 461302128 is about 772.6719609640.

The spelling of 461302128 in words is "four hundred sixty-one million, three hundred two thousand, one hundred twenty-eight".