458114328 has 144 divisors (see below), whose sum is σ = 1460511000. Its totient is φ = 129330432.

The previous prime is 458114281. The next prime is 458114329. The reversal of 458114328 is 823411854.

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 = 458114292 and 458114301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458114329) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 313263 + ... + 314721.

Almost surely, 2^458114328 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 458114328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730255500).

458114328 is an abundant number, since it is smaller than the sum of its proper divisors (1002396672).

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

458114328 is a wasteful number, since it uses less digits than its factorization.

458114328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1560 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 458114328 is about 21403.6054906644. The cubic root of 458114328 is about 770.8880113098. Note that the first 3 decimals are identical.

The spelling of 458114328 in words is "four hundred fifty-eight million, one hundred fourteen thousand, three hundred twenty-eight".