458407484028 has 96 divisors (see below), whose sum is σ = 1307115909120. Its totient is φ = 138047405760.

The previous prime is 458407484021. The next prime is 458407484149. The reversal of 458407484028 is 820484704854.

458407484028 is a `hidden beast` number, since 458 + 40 + 74 + 84 + 0 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458407484021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3407428 + ... + 3539403.

It is an arithmetic number, because the mean of its divisors is an integer number (13615790720).

Almost surely, 2^458407484028 is an apocalyptic number.

It is an amenable number.

458407484028 is an abundant number, since it is smaller than the sum of its proper divisors (848708425092).

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

458407484028 is a wasteful number, since it uses less digits than its factorization.

458407484028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946904 (or 6946896 counting only the distinct ones).

The product of its (nonzero) digits is 9175040, while the sum is 54.

The spelling of 458407484028 in words is "four hundred fifty-eight billion, four hundred seven million, four hundred eighty-four thousand, twenty-eight".