456530128 has 80 divisors (see below), whose sum is σ = 954581760. Its totient is φ = 211008512.

The previous prime is 456530117. The next prime is 456530131. The reversal of 456530128 is 821035654.

It is a junction number, because it is equal to n+sod(n) for n = 456530093 and 456530102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735725 + ... + 1735987.

It is an arithmetic number, because the mean of its divisors is an integer number (11932272).

Almost surely, 2^456530128 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 456530128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477290880).

456530128 is an abundant number, since it is smaller than the sum of its proper divisors (498051632).

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

456530128 is a wasteful number, since it uses less digits than its factorization.

456530128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 456530128 is about 21366.5656575876. The cubic root of 456530128 is about 769.9983853342.

The spelling of 456530128 in words is "four hundred fifty-six million, five hundred thirty thousand, one hundred twenty-eight".