458502849 has 48 divisors (see below), whose sum is σ = 801091200. Its totient is φ = 261954000.

The previous prime is 458502839. The next prime is 458502857. The reversal of 458502849 is 948205854.

458502849 is a `hidden beast` number, since 4 + 585 + 0 + 28 + 49 = 666.

It is not a de Polignac number, because 458502849 - 2⁴ = 458502833 is a prime.

It is a super-2 number, since 2×458502849² = 420449725082233602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (458502829) 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 47 ways as a sum of consecutive naturals, for example, 80599 + ... + 86099.

It is an arithmetic number, because the mean of its divisors is an integer number (16689400).

Almost surely, 2^458502849 is an apocalyptic number.

458502849 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

458502849 is a deficient number, since it is larger than the sum of its proper divisors (342588351).

458502849 is an frugal number, since it uses more digits than its factorization.

458502849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5511 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 458502849 is about 21412.6796314707. The cubic root of 458502849 is about 771.1058765408.

The spelling of 458502849 in words is "four hundred fifty-eight million, five hundred two thousand, eight hundred forty-nine".