455348724600 has 288 divisors, whose sum is σ = 1773227756160. Its totient is φ = 94617811200.

The previous prime is 455348724569. The next prime is 455348724601. The reversal of 455348724600 is 6427843554.

It is a self number, because there is not a number n which added to its sum of digits gives 455348724600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455348724601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60199 + ... + 956201.

It is an arithmetic number, because the mean of its divisors is an integer number (6157040820).

Almost surely, 2^455348724600 is an apocalyptic number.

455348724600 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 455348724600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886613878080).

455348724600 is an abundant number, since it is smaller than the sum of its proper divisors (1317879031560).

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

455348724600 is a wasteful number, since it uses less digits than its factorization.

455348724600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896051 (or 896031 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 455348724600 in words is "four hundred fifty-five billion, three hundred forty-eight million, seven hundred twenty-four thousand, six hundred".