458027107729 has 9 divisors (see below), whose sum is σ = 468956412873. Its totient is φ = 447346889892.

The previous prime is 458027107691. The next prime is 458027107757. The reversal of 458027107729 is 927701720854.

The square root of 458027107729 is 676777.

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

It is not a de Polignac number, because 458027107729 - 2¹⁵ = 458027074961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458027107129) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29093542 + ... + 29109280.

It is an arithmetic number, because the mean of its divisors is an integer number (52106268097).

Almost surely, 2^458027107729 is an apocalyptic number.

458027107729 is the 676777-th square number.

458027107729 is the 338389-th centered octagonal number.

It is an amenable number.

458027107729 is a deficient number, since it is larger than the sum of its proper divisors (10929305144).

458027107729 is an frugal number, since it uses more digits than its factorization.

458027107729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31564 (or 15782 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 52.

The spelling of 458027107729 in words is "four hundred fifty-eight billion, twenty-seven million, one hundred seven thousand, seven hundred twenty-nine".