458048 has 28 divisors (see below), whose sum is σ = 964692. Its totient is φ = 215040.

The previous prime is 458047. The next prime is 458053. The reversal of 458048 is 840854.

It can be written as a sum of positive squares in 2 ways, for example, as 135424 + 322624 = 368^2 + 568^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 458048.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 458048.

It is not an unprimeable number, because it can be changed into a prime (458047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 878 + ... + 1298.

2⁴⁵⁸⁰⁴⁸ 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 458048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482346).

458048 is an abundant number, since it is smaller than the sum of its proper divisors (506644).

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

458048 is a wasteful number, since it uses less digits than its factorization.

458048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 458048 is about 676.7924349459. The cubic root of 458048 is about 77.0850805220.

The spelling of 458048 in words is "four hundred fifty-eight thousand, forty-eight".