458398056601 has 9 divisors (see below), whose sum is σ = 479211223071. Its totient is φ = 438452811192.

The previous prime is 458398056593. The next prime is 458398056629. The reversal of 458398056601 is 106650893854.

The square root of 458398056601 is 677051.

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

It can be written as a sum of positive squares in only one way, i.e., 446270761225 + 12127295376 = 668035^2 + 110124^2 .

It is not a de Polignac number, because 458398056601 - 2³ = 458398056593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458398026601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15557455 + ... + 15586891.

Almost surely, 2^458398056601 is an apocalyptic number.

458398056601 is the 677051-st square number.

458398056601 is the 338526-th centered octagonal number.

It is an amenable number.

458398056601 is a deficient number, since it is larger than the sum of its proper divisors (20813166470).

458398056601 is an frugal number, since it uses more digits than its factorization.

458398056601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58920 (or 29460 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

It can be divided in two parts, 4583980 and 56601, that added together give a triangular number (4640581 = T₃₀₄₆).

The spelling of 458398056601 in words is "four hundred fifty-eight billion, three hundred ninety-eight million, fifty-six thousand, six hundred one".