450806400 has 288 divisors, whose sum is σ = 1756048320. Its totient is φ = 109209600.

The previous prime is 450806399. The next prime is 450806401. The reversal of 450806400 is 4608054.

It is an interprime number because it is at equal distance from previous prime (450806399) and next prime (450806401).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (450806401) 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 35 ways as a sum of consecutive naturals, for example, 316089 + ... + 317511.

It is an arithmetic number, because the mean of its divisors is an integer number (6097390).

Almost surely, 2^450806400 is an apocalyptic number.

450806400 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 450806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878024160).

450806400 is an abundant number, since it is smaller than the sum of its proper divisors (1305241920).

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

450806400 is a wasteful number, since it uses less digits than its factorization.

450806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450806400 is about 21232.2019583462. The cubic root of 450806400 is about 766.7669014084.

The spelling of 450806400 in words is "four hundred fifty million, eight hundred six thousand, four hundred".