450283680 has 576 divisors, whose sum is σ = 1992646656. Its totient is φ = 89856000.

The previous prime is 450283621. The next prime is 450283681. The reversal of 450283680 is 86382054.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (450283681) 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 95 ways as a sum of consecutive naturals, for example, 3437215 + ... + 3437345.

It is an arithmetic number, because the mean of its divisors is an integer number (3459456).

Almost surely, 2^450283680 is an apocalyptic number.

450283680 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 450283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996323328).

450283680 is an abundant number, since it is smaller than the sum of its proper divisors (1542362976).

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

450283680 is a wasteful number, since it uses less digits than its factorization.

450283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 450283680 is about 21219.8887838744. Note that the first 3 decimals coincide. The cubic root of 450283680 is about 766.4704257236.

The spelling of 450283680 in words is "four hundred fifty million, two hundred eighty-three thousand, six hundred eighty".