450454400 has 192 divisors, whose sum is σ = 1238492160. Its totient is φ = 160512000.

The previous prime is 450454357. The next prime is 450454409. The reversal of 450454400 is 4454054.

It is a self number, because there is not a number n which added to its sum of digits gives 450454400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450454409) 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 23 ways as a sum of consecutive naturals, for example, 2358305 + ... + 2358495.

It is an arithmetic number, because the mean of its divisors is an integer number (6450480).

Almost surely, 2^450454400 is an apocalyptic number.

450454400 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 450454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619246080).

450454400 is an abundant number, since it is smaller than the sum of its proper divisors (788037760).

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

450454400 is a wasteful number, since it uses less digits than its factorization.

450454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

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

The square root of 450454400 is about 21223.9110439146. The cubic root of 450454400 is about 766.5672797021.

The spelling of 450454400 in words is "four hundred fifty million, four hundred fifty-four thousand, four hundred".