458025120 has 144 divisors (see below), whose sum is σ = 1786337280. Its totient is φ = 104689152.

The previous prime is 458025103. The next prime is 458025133. The reversal of 458025120 is 21520854.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 12640 + ... + 32799.

It is an arithmetic number, because the mean of its divisors is an integer number (12405120).

Almost surely, 2^458025120 is an apocalyptic number.

458025120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

458025120 is an abundant number, since it is smaller than the sum of its proper divisors (1328312160).

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

458025120 is a wasteful number, since it uses less digits than its factorization.

458025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45467 (or 45456 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 458025120 is about 21401.5214412434. The cubic root of 458025120 is about 770.8379700590.

Adding to 458025120 its reverse (21520854), we get a palindrome (479545974).

The spelling of 458025120 in words is "four hundred fifty-eight million, twenty-five thousand, one hundred twenty".