458848368 has 160 divisors (see below), whose sum is σ = 1446574080. Its totient is φ = 138101760.

The previous prime is 458848349. The next prime is 458848387. The reversal of 458848368 is 863848854.

It is an interprime number because it is at equal distance from previous prime (458848349) and next prime (458848387).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059480 + ... + 1059912.

It is an arithmetic number, because the mean of its divisors is an integer number (9041088).

Almost surely, 2^458848368 is an apocalyptic number.

458848368 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 458848368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723287040).

458848368 is an abundant number, since it is smaller than the sum of its proper divisors (987725712).

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

458848368 is a wasteful number, since it uses less digits than its factorization.

458848368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 672 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The square root of 458848368 is about 21420.7462054897. The cubic root of 458848368 is about 771.2995247984.

The spelling of 458848368 in words is "four hundred fifty-eight million, eight hundred forty-eight thousand, three hundred sixty-eight".