454944000 has 288 divisors, whose sum is σ = 1729518336. Its totient is φ = 103833600.

The previous prime is 454943977. The next prime is 454944001. The reversal of 454944000 is 449454.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454944001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 671662 + ... + 672338.

It is an arithmetic number, because the mean of its divisors is an integer number (6005272).

Almost surely, 2^454944000 is an apocalyptic number.

454944000 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 454944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864759168).

454944000 is an abundant number, since it is smaller than the sum of its proper divisors (1274574336).

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

454944000 is an equidigital number, since it uses as much as digits as its factorization.

454944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 454944000 is about 21329.4163070629. The cubic root of 454944000 is about 769.1056124581.

It can be divided in two parts, 45494 and 4000, that added together give a palindrome (49494).

The spelling of 454944000 in words is "four hundred fifty-four million, nine hundred forty-four thousand".