458145472 has 56 divisors (see below), whose sum is σ = 934004736. Its totient is φ = 222866688.

The previous prime is 458145437. The next prime is 458145481. The reversal of 458145472 is 274541854.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670443 + ... + 671125.

It is an arithmetic number, because the mean of its divisors is an integer number (16678656).

Almost surely, 2^458145472 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 458145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467002368).

458145472 is an abundant number, since it is smaller than the sum of its proper divisors (475859264).

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

458145472 is a wasteful number, since it uses less digits than its factorization.

458145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 955 counting only the distinct ones).

The product of its digits is 179200, while the sum is 40.

The square root of 458145472 is about 21404.3330192744. Note that the first 3 decimals coincide. The cubic root of 458145472 is about 770.9054800148.

The spelling of 458145472 in words is "four hundred fifty-eight million, one hundred forty-five thousand, four hundred seventy-two".