458454930649 has 9 divisors (see below), whose sum is σ = 487021444797. Its totient is φ = 431476160064.

The previous prime is 458454930611. The next prime is 458454930653. The reversal of 458454930649 is 946039454854.

The square root of 458454930649 is 677093.

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 249485265225 + 208969665424 = 499485^2 + 457132^2 .

It is not a de Polignac number, because 458454930649 - 2²⁷ = 458320712921 is a prime.

It is a super-3 number, since 3×458454930649³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458454930149) 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, 11490667 + ... + 11530495.

Almost surely, 2^458454930649 is an apocalyptic number.

458454930649 is the 677093-rd square number.

458454930649 is the 338547-th centered octagonal number.

It is an amenable number.

458454930649 is a deficient number, since it is larger than the sum of its proper divisors (28566514148).

458454930649 is an frugal number, since it uses more digits than its factorization.

458454930649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79692 (or 39846 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 61.

The spelling of 458454930649 in words is "four hundred fifty-eight billion, four hundred fifty-four million, nine hundred thirty thousand, six hundred forty-nine".