458213801472 has 640 divisors, whose sum is σ = 1600303288320. Its totient is φ = 128331620352.

The previous prime is 458213801449. The next prime is 458213801509. The reversal of 458213801472 is 274108312854.

458213801472 is a `hidden beast` number, since 45 + 8 + 2 + 138 + 0 + 1 + 472 = 666.

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, 415424473 + ... + 415425575.

It is an arithmetic number, because the mean of its divisors is an integer number (2500473888).

Almost surely, 2^458213801472 is an apocalyptic number.

458213801472 is a gapful number since it is divisible by the number (42) 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 458213801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800151644160).

458213801472 is an abundant number, since it is smaller than the sum of its proper divisors (1142089486848).

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

458213801472 is an frugal number, since it uses more digits than its factorization.

458213801472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 458213801472 in words is "four hundred fifty-eight billion, two hundred thirteen million, eight hundred one thousand, four hundred seventy-two".