458450868100 has 27 divisors (see below), whose sum is σ = 994853076847. Its totient is φ = 183377638880.

The previous prime is 458450868089. The next prime is 458450868101. The reversal of 458450868100 is 1868054854.

The square root of 458450868100 is 677090.

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 226943620996 + 231507247104 = 476386^2 + 481152^2 .

It is a super-2 number, since 2×458450868100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (458450868101) 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, 6737046 + ... + 6804754.

Almost surely, 2^458450868100 is an apocalyptic number.

458450868100 is the 677090-th square number.

It is an amenable number.

458450868100 is an abundant number, since it is smaller than the sum of its proper divisors (536402208747).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

458450868100 is an frugal number, since it uses more digits than its factorization.

458450868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135432 (or 67716 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 49.

Multiplying 458450868100 by its sum of digits (49), we get a square (22464092536900 = 4739630²).

The spelling of 458450868100 in words is "four hundred fifty-eight billion, four hundred fifty million, eight hundred sixty-eight thousand, one hundred".