458491968 has 112 divisors (see below), whose sum is σ = 1470477120. Its totient is φ = 138931200.

The previous prime is 458491949. The next prime is 458491991. The reversal of 458491968 is 869194854.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6948 + ... + 31068.

It is an arithmetic number, because the mean of its divisors is an integer number (13129260).

Almost surely, 2^458491968 is an apocalyptic number.

458491968 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 458491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735238560).

458491968 is an abundant number, since it is smaller than the sum of its proper divisors (1011985152).

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

458491968 is a wasteful number, since it uses less digits than its factorization.

458491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24153 (or 24137 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 458491968 is about 21412.4255515343. The cubic root of 458491968 is about 771.0997766373.

The spelling of 458491968 in words is "four hundred fifty-eight million, four hundred ninety-one thousand, nine hundred sixty-eight".