454544000 has 64 divisors (see below), whose sum is σ = 1130149800. Its totient is φ = 181811200.

The previous prime is 454543987. The next prime is 454544023. The reversal of 454544000 is 445454.

It can be written as a sum of positive squares in 4 ways, for example, as 164454976 + 290089024 = 12824^2 + 17032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×454544000² = 413220495872000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1796 + ... + 30204.

Almost surely, 2^454544000 is an apocalyptic number.

454544000 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 454544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565074900).

454544000 is an abundant number, since it is smaller than the sum of its proper divisors (675605800).

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

454544000 is an equidigital number, since it uses as much as digits as its factorization.

454544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28438 (or 28416 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 454544000 is about 21320.0375234191. The cubic root of 454544000 is about 768.8801396881.

Adding to 454544000 its reverse (445454), we get a palindrome (454989454).

The spelling of 454544000 in words is "four hundred fifty-four million, five hundred forty-four thousand".