455873600 has 336 divisors, whose sum is σ = 1439241216. Its totient is φ = 138240000.

The previous prime is 455873531. The next prime is 455873609. The reversal of 455873600 is 6378554.

It is not an unprimeable number, because it can be changed into a prime (455873609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4513550 + ... + 4513650.

It is an arithmetic number, because the mean of its divisors is an integer number (4283456).

Almost surely, 2^455873600 is an apocalyptic number.

455873600 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 455873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719620608).

455873600 is an abundant number, since it is smaller than the sum of its proper divisors (983367616).

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

455873600 is a wasteful number, since it uses less digits than its factorization.

455873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 455873600 is about 21351.1966877737. The cubic root of 455873600 is about 769.6291011827.

The spelling of 455873600 in words is "four hundred fifty-five million, eight hundred seventy-three thousand, six hundred".