455820446038272 has 1152 divisors, whose sum is σ = 1594386088243200. Its totient is φ = 112472594841600.

The previous prime is 455820446038261. The next prime is 455820446038333. The reversal of 455820446038272 is 272830644028554.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9895994122 + ... + 9896040182.

It is an arithmetic number, because the mean of its divisors is an integer number (1384015701600).

Almost surely, 2^{455820446038272} is an apocalyptic number.

455820446038272 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 455820446038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797193044121600).

455820446038272 is an abundant number, since it is smaller than the sum of its proper divisors (1138565642204928).

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

455820446038272 is a wasteful number, since it uses less digits than its factorization.

455820446038272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46303 (or 46289 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 60.

The spelling of 455820446038272 in words is "four hundred fifty-five trillion, eight hundred twenty billion, four hundred forty-six million, thirty-eight thousand, two hundred seventy-two".