458149120 has 144 divisors (see below), whose sum is σ = 1289780352. Its totient is φ = 153722880.

The previous prime is 458149117. The next prime is 458149123. The reversal of 458149120 is 21941854.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (458149117) and next prime (458149123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458149123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 181789 + ... + 184291.

It is an arithmetic number, because the mean of its divisors is an integer number (8956808).

Almost surely, 2^458149120 is an apocalyptic number.

458149120 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 458149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644890176).

458149120 is an abundant number, since it is smaller than the sum of its proper divisors (831631232).

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

458149120 is a wasteful number, since it uses less digits than its factorization.

458149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 458149120 is about 21404.4182354952. The cubic root of 458149120 is about 770.9075261304.

The spelling of 458149120 in words is "four hundred fifty-eight million, one hundred forty-nine thousand, one hundred twenty".