458716320 has 144 divisors (see below), whose sum is σ = 1576116360. Its totient is φ = 121485312.

The previous prime is 458716309. The next prime is 458716337. The reversal of 458716320 is 23617854.

It can be written as a sum of positive squares in 4 ways, for example, as 436475664 + 22240656 = 20892^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225066 + ... + 227094.

Almost surely, 2^458716320 is an apocalyptic number.

458716320 is a gapful number since it is divisible by the number (40) 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 458716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788058180).

458716320 is an abundant number, since it is smaller than the sum of its proper divisors (1117400040).

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

458716320 is a wasteful number, since it uses less digits than its factorization.

458716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 458716320 is about 21417.6637381391. The cubic root of 458716320 is about 771.2255291618.

The spelling of 458716320 in words is "four hundred fifty-eight million, seven hundred sixteen thousand, three hundred twenty".