450144960 has 448 divisors, whose sum is σ = 1667865600. Its totient is φ = 102187008.

The previous prime is 450144949. The next prime is 450144971. The reversal of 450144960 is 69441054.

It is an interprime number because it is at equal distance from previous prime (450144949) and next prime (450144971).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 12166062 + ... + 12166098.

Almost surely, 2^450144960 is an apocalyptic number.

450144960 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 450144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833932800).

450144960 is an abundant number, since it is smaller than the sum of its proper divisors (1217720640).

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

450144960 is a wasteful number, since it uses less digits than its factorization.

450144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 450144960 is about 21216.6199004460. The cubic root of 450144960 is about 766.3917081635.

The spelling of 450144960 in words is "four hundred fifty million, one hundred forty-four thousand, nine hundred sixty".