458752904025 has 144 divisors (see below), whose sum is σ = 852202598400. Its totient is φ = 217426809600.

The previous prime is 458752904009. The next prime is 458752904033. The reversal of 458752904025 is 520409257854.

It is not a de Polignac number, because 458752904025 - 2⁴ = 458752904009 is a prime.

It is a super-3 number, since 3×458752904025³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78189142 + ... + 78195008.

It is an arithmetic number, because the mean of its divisors is an integer number (5918073600).

Almost surely, 2^458752904025 is an apocalyptic number.

It is an amenable number.

458752904025 is a deficient number, since it is larger than the sum of its proper divisors (393449694375).

458752904025 is a wasteful number, since it uses less digits than its factorization.

458752904025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 458752904025 in words is "four hundred fifty-eight billion, seven hundred fifty-two million, nine hundred four thousand, twenty-five".