458245320 has 128 divisors (see below), whose sum is σ = 1490711040. Its totient is φ = 112020480.

The previous prime is 458245313. The next prime is 458245339. The reversal of 458245320 is 23542854.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243985 + ... + 245855.

It is an arithmetic number, because the mean of its divisors is an integer number (11646180).

Almost surely, 2^458245320 is an apocalyptic number.

458245320 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 458245320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745355520).

458245320 is an abundant number, since it is smaller than the sum of its proper divisors (1032465720).

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

458245320 is a wasteful number, since it uses less digits than its factorization.

458245320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 458245320 is about 21406.6653171390. The cubic root of 458245320 is about 770.9614795345.

The spelling of 458245320 in words is "four hundred fifty-eight million, two hundred forty-five thousand, three hundred twenty".