458320896 has 264 divisors, whose sum is σ = 1502825520. Its totient is φ = 137871360.

The previous prime is 458320873. The next prime is 458320903. The reversal of 458320896 is 698023854.

It is a tau number, because it is divible by the number of its divisors (264).

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 23 ways as a sum of consecutive naturals, for example, 3345340 + ... + 3345476.

Almost surely, 2^458320896 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 458320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751412760).

458320896 is an abundant number, since it is smaller than the sum of its proper divisors (1044504624).

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

458320896 is a wasteful number, since it uses less digits than its factorization.

458320896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 458320896 is about 21408.4304889452. The cubic root of 458320896 is about 771.0038607507.

The spelling of 458320896 in words is "four hundred fifty-eight million, three hundred twenty thousand, eight hundred ninety-six".