458479728 has 240 divisors, whose sum is σ = 1587755520. Its totient is φ = 120559104.

The previous prime is 458479669. The next prime is 458479751. The reversal of 458479728 is 827974854.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708301 + ... + 708947.

It is an arithmetic number, because the mean of its divisors is an integer number (6615648).

Almost surely, 2^458479728 is an apocalyptic number.

458479728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458479728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793877760).

458479728 is an abundant number, since it is smaller than the sum of its proper divisors (1129275792).

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

458479728 is a wasteful number, since it uses less digits than its factorization.

458479728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 715 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 458479728 is about 21412.1397342722. The cubic root of 458479728 is about 771.0929147612.

The spelling of 458479728 in words is "four hundred fifty-eight million, four hundred seventy-nine thousand, seven hundred twenty-eight".