450064480 has 96 divisors (see below), whose sum is σ = 1098873216. Its totient is φ = 174096384.

The previous prime is 450064471. The next prime is 450064481. The reversal of 450064480 is 84460054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450064481) 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, 729132 + ... + 729748.

It is an arithmetic number, because the mean of its divisors is an integer number (11446596).

Almost surely, 2^450064480 is an apocalyptic number.

450064480 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 450064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549436608).

450064480 is an abundant number, since it is smaller than the sum of its proper divisors (648808736).

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

450064480 is a wasteful number, since it uses less digits than its factorization.

450064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 450064480 is about 21214.7231893325. The cubic root of 450064480 is about 766.3460318545.

The spelling of 450064480 in words is "four hundred fifty million, sixty-four thousand, four hundred eighty".