455600600 has 96 divisors (see below), whose sum is σ = 1303770720. Its totient is φ = 144184320.

The previous prime is 455600599. The next prime is 455600617. The reversal of 455600600 is 6006554.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 455600600.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5684 + ... + 30716.

It is an arithmetic number, because the mean of its divisors is an integer number (13580945).

Almost surely, 2^455600600 is an apocalyptic number.

455600600 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 455600600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651885360).

455600600 is an abundant number, since it is smaller than the sum of its proper divisors (848170120).

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

455600600 is a wasteful number, since it uses less digits than its factorization.

455600600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25069 (or 25060 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 455600600 is about 21344.8026460776. The cubic root of 455600600 is about 769.4754396562.

The spelling of 455600600 in words is "four hundred fifty-five million, six hundred thousand, six hundred".