458325216 has 216 divisors, whose sum is σ = 1413561240. Its totient is φ = 146126592.

The previous prime is 458325181. The next prime is 458325221. The reversal of 458325216 is 612523854.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7768195 + ... + 7768253.

It is an arithmetic number, because the mean of its divisors is an integer number (6544265).

Almost surely, 2^458325216 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 458325216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706780620).

458325216 is an abundant number, since it is smaller than the sum of its proper divisors (955236024).

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

458325216 is an frugal number, since it uses more digits than its factorization.

458325216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 458325216 is about 21408.5313835396. The cubic root of 458325216 is about 771.0062831628.

The spelling of 458325216 in words is "four hundred fifty-eight million, three hundred twenty-five thousand, two hundred sixteen".