458448768 has 128 divisors (see below), whose sum is σ = 1366596000. Its totient is φ = 151289856.

The previous prime is 458448751. The next prime is 458448769. The reversal of 458448768 is 867844854.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458448769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376096 + ... + 377312.

Almost surely, 2^458448768 is an apocalyptic number.

458448768 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 458448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683298000).

458448768 is an abundant number, since it is smaller than the sum of its proper divisors (908147232).

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

458448768 is a wasteful number, since it uses less digits than its factorization.

458448768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1331 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The square root of 458448768 is about 21411.4167676966. The cubic root of 458448768 is about 771.0755577059.

The spelling of 458448768 in words is "four hundred fifty-eight million, four hundred forty-eight thousand, seven hundred sixty-eight".