458227968 has 108 divisors (see below), whose sum is σ = 1340774064. Its totient is φ = 138828800.

The previous prime is 458227967. The next prime is 458228003. The reversal of 458227968 is 869722854.

It is a self number, because there is not a number n which added to its sum of digits gives 458227968.

It is not an unprimeable number, because it can be changed into a prime (458227967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90463 + ... + 95393.

Almost surely, 2^458227968 is an apocalyptic number.

458227968 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 458227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670387032).

458227968 is an abundant number, since it is smaller than the sum of its proper divisors (882546096).

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

458227968 is a wasteful number, since it uses less digits than its factorization.

458227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4947 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 458227968 is about 21406.2600189758. The cubic root of 458227968 is about 770.9517482895.

The spelling of 458227968 in words is "four hundred fifty-eight million, two hundred twenty-seven thousand, nine hundred sixty-eight".