458489500 has 96 divisors (see below), whose sum is σ = 1156611456. Its totient is φ = 155520000.

The previous prime is 458489489. The next prime is 458489503. The reversal of 458489500 is 5984854.

458489500 = 113² + 114² + ... + 1112².

It is a happy number.

458489500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×458489500² = 420425243220500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458489503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352852 + ... + 354148.

It is an arithmetic number, because the mean of its divisors is an integer number (12048036).

Almost surely, 2^458489500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458489500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578305728).

458489500 is an abundant number, since it is smaller than the sum of its proper divisors (698121956).

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

458489500 is a wasteful number, since it uses less digits than its factorization.

458489500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 458489500 is about 21412.3679213673. The cubic root of 458489500 is about 771.0983930597.

The spelling of 458489500 in words is "four hundred fifty-eight million, four hundred eighty-nine thousand, five hundred".