458406604854 has 128 divisors (see below), whose sum is σ = 1149646417920. Its totient is φ = 134136000000.

The previous prime is 458406604841. The next prime is 458406604871.

458406604854 is a `hidden beast` number, since 4 + 584 + 0 + 6 + 6 + 0 + 4 + 8 + 54 = 666.

458406604854 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×458406604854² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 458406604854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8461854 + ... + 8515854.

It is an arithmetic number, because the mean of its divisors is an integer number (8981612640).

Almost surely, 2^458406604854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458406604854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574823208960).

458406604854 is an abundant number, since it is smaller than the sum of its proper divisors (691239813066).

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

458406604854 is a wasteful number, since it uses less digits than its factorization.

458406604854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54515 (or 54509 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 458406604854 in words is "four hundred fifty-eight billion, four hundred six million, six hundred four thousand, eight hundred fifty-four".