458352225 has 72 divisors (see below), whose sum is σ = 849588480. Its totient is φ = 236079360.

The previous prime is 458352203. The next prime is 458352229. The reversal of 458352225 is 522253854.

It is a happy number.

458352225 is a `hidden beast` number, since 4 + 583 + 52 + 2 + 25 = 666.

It is not a de Polignac number, because 458352225 - 2⁸ = 458351969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 458352225.

It is not an unprimeable number, because it can be changed into a prime (458352229) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940932 + ... + 941418.

It is an arithmetic number, because the mean of its divisors is an integer number (11799840).

Almost surely, 2^458352225 is an apocalyptic number.

458352225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

458352225 is a deficient number, since it is larger than the sum of its proper divisors (391236255).

458352225 is a wasteful number, since it uses less digits than its factorization.

458352225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 458352225 is about 21409.1621741721. The cubic root of 458352225 is about 771.0214279398.

The spelling of 458352225 in words is "four hundred fifty-eight million, three hundred fifty-two thousand, two hundred twenty-five".