458753868 has 72 divisors (see below), whose sum is σ = 1209326160. Its totient is φ = 152250192.

The previous prime is 458753839. The next prime is 458753873. The reversal of 458753868 is 868357854.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

458753868 is a `hidden beast` number, since 4 + 587 + 53 + 8 + 6 + 8 = 666.

It is a super-2 number, since 2×458753868² = 420910222809922848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2003178 + ... + 2003406.

Almost surely, 2^458753868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458753868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604663080).

458753868 is an abundant number, since it is smaller than the sum of its proper divisors (750572292).

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

458753868 is an frugal number, since it uses more digits than its factorization.

458753868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 234 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 458753868 is about 21418.5402863967. The cubic root of 458753868 is about 771.2465713505.

The spelling of 458753868 in words is "four hundred fifty-eight million, seven hundred fifty-three thousand, eight hundred sixty-eight".