458800806720 has 224 divisors, whose sum is σ = 1535829166080. Its totient is φ = 115720980480.

The previous prime is 458800806707. The next prime is 458800806727. The reversal of 458800806720 is 27608008854.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 458800806720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (458800806727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11489509 + ... + 11529371.

Almost surely, 2^458800806720 is an apocalyptic number.

458800806720 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 458800806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767914583040).

458800806720 is an abundant number, since it is smaller than the sum of its proper divisors (1077028359360).

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

458800806720 is a wasteful number, since it uses less digits than its factorization.

458800806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40533 (or 40523 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 458800806720 in words is "four hundred fifty-eight billion, eight hundred million, eight hundred six thousand, seven hundred twenty".