458049945600 has 1344 divisors, whose sum is σ = 1865238820200. Its totient is φ = 110839726080.

The previous prime is 458049945491. The next prime is 458049945629. The reversal of 458049945600 is 6549940854.

458049945600 is a `hidden beast` number, since 4 + 58 + 0 + 499 + 45 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7763558371 + ... + 7763558429.

Almost surely, 2^458049945600 is an apocalyptic number.

458049945600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 458049945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932619410100).

458049945600 is an abundant number, since it is smaller than the sum of its proper divisors (1407188874600).

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

458049945600 is an frugal number, since it uses more digits than its factorization.

458049945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 458049945600 in words is "four hundred fifty-eight billion, forty-nine million, nine hundred forty-five thousand, six hundred".