458868072 has 64 divisors (see below), whose sum is σ = 1252399680. Its totient is φ = 139249152.

The previous prime is 458868049. The next prime is 458868089. The reversal of 458868072 is 270868854.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12703 + ... + 32849.

It is an arithmetic number, because the mean of its divisors is an integer number (19568745).

Almost surely, 2^458868072 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 458868072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626199840).

458868072 is an abundant number, since it is smaller than the sum of its proper divisors (793531608).

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

458868072 is a wasteful number, since it uses less digits than its factorization.

458868072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20242 (or 20238 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 458868072 is about 21421.2061285073. The cubic root of 458868072 is about 771.3105650965.

The spelling of 458868072 in words is "four hundred fifty-eight million, eight hundred sixty-eight thousand, seventy-two".