458131680 has 192 divisors, whose sum is σ = 1615360320. Its totient is φ = 121264128.

The previous prime is 458131649. The next prime is 458131693. The reversal of 458131680 is 86131854.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 747054 + ... + 747666.

It is an arithmetic number, because the mean of its divisors is an integer number (8413335).

Almost surely, 2^458131680 is an apocalyptic number.

458131680 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 458131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807680160).

458131680 is an abundant number, since it is smaller than the sum of its proper divisors (1157228640).

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

458131680 is a wasteful number, since it uses less digits than its factorization.

458131680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

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

The square root of 458131680 is about 21404.0108390928. The cubic root of 458131680 is about 770.8977441640.

The spelling of 458131680 in words is "four hundred fifty-eight million, one hundred thirty-one thousand, six hundred eighty".