450408192 has 144 divisors (see below), whose sum is σ = 1303172640. Its totient is φ = 137281536.

The previous prime is 450408173. The next prime is 450408197. The reversal of 450408192 is 291804054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450408197) 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 15 ways as a sum of consecutive naturals, for example, 1966734 + ... + 1966962.

It is an arithmetic number, because the mean of its divisors is an integer number (9049810).

Almost surely, 2^450408192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651586320).

450408192 is an abundant number, since it is smaller than the sum of its proper divisors (852764448).

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

450408192 is a wasteful number, since it uses less digits than its factorization.

450408192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 450408192 is about 21222.8224324664. The cubic root of 450408192 is about 766.5410670954.

The spelling of 450408192 in words is "four hundred fifty million, four hundred eight thousand, one hundred ninety-two".