450423360 has 168 divisors, whose sum is σ = 1602988920. Its totient is φ = 115949568.

The previous prime is 450423353. The next prime is 450423403. The reversal of 450423360 is 63324054.

It can be written as a sum of positive squares in 4 ways, for example, as 150994944 + 299428416 = 12288^2 + 17304^2 .

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 23 ways as a sum of consecutive naturals, for example, 80824 + ... + 86216.

Almost surely, 2^450423360 is an apocalyptic number.

450423360 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 450423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801494460).

450423360 is an abundant number, since it is smaller than the sum of its proper divisors (1152565560).

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

450423360 is a wasteful number, since it uses less digits than its factorization.

450423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 450423360 is about 21223.1797806078. The cubic root of 450423360 is about 766.5496717082.

The spelling of 450423360 in words is "four hundred fifty million, four hundred twenty-three thousand, three hundred sixty".