455395600 has 135 divisors (see below), whose sum is σ = 1215118191. Its totient is φ = 163891200.

The previous prime is 455395547. The next prime is 455395621. The reversal of 455395600 is 6593554.

The square root of 455395600 is 21340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16744464 + 438651136 = 4092^2 + 20944^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 455395600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4694752 + ... + 4694848.

Almost surely, 2^455395600 is an apocalyptic number.

455395600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

455395600 is the 21340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455395600

455395600 is an abundant number, since it is smaller than the sum of its proper divisors (759722591).

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

455395600 is a wasteful number, since it uses less digits than its factorization.

455395600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The cubic root of 455395600 is about 769.3600124377.

The spelling of 455395600 in words is "four hundred fifty-five million, three hundred ninety-five thousand, six hundred".