458311680 has 144 divisors (see below), whose sum is σ = 1588745340. Its totient is φ = 122191872.

The previous prime is 458311663. The next prime is 458311757. The reversal of 458311680 is 86113854.

458311680 is a `hidden beast` number, since 4 + 583 + 11 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 458302464 + 9216 = 21408^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89674 + ... + 94646.

Almost surely, 2^458311680 is an apocalyptic number.

458311680 is a gapful number since it is divisible by the number (40) 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 458311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794372670).

458311680 is an abundant number, since it is smaller than the sum of its proper divisors (1130433660).

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

458311680 is a wasteful number, since it uses less digits than its factorization.

458311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 458311680 is about 21408.2152455547. The cubic root of 458311680 is about 770.9986928874.

The spelling of 458311680 in words is "four hundred fifty-eight million, three hundred eleven thousand, six hundred eighty".