458796249025 has 9 divisors (see below), whose sum is σ = 568911548361. Its totient is φ = 367034289840.

The previous prime is 458796249013. The next prime is 458796249083. The reversal of 458796249025 is 520942697854.

The square root of 458796249025 is 677345.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 33608788929 + 425187460096 = 183327^2 + 652064^2 .

It is not a de Polignac number, because 458796249025 - 2³³ = 450206314433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3318991 + ... + 3454459.

Almost surely, 2^458796249025 is an apocalyptic number.

458796249025 is the 677345-th square number.

458796249025 is the 338673-rd centered octagonal number.

It is an amenable number.

458796249025 is a deficient number, since it is larger than the sum of its proper divisors (110115299336).

458796249025 is an frugal number, since it uses more digits than its factorization.

458796249025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270948 (or 135474 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 458796249025 in words is "four hundred fifty-eight billion, seven hundred ninety-six million, two hundred forty-nine thousand, twenty-five".