450302976 has 220 divisors, whose sum is σ = 1382093460. Its totient is φ = 145981440.

The previous prime is 450302939. The next prime is 450302977. The reversal of 450302976 is 679203054.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 406425600 = 6624^2 + 20160^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 450302976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450302977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5059540 + ... + 5059628.

It is an arithmetic number, because the mean of its divisors is an integer number (6282243).

Almost surely, 2^450302976 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 450302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691046730).

450302976 is an abundant number, since it is smaller than the sum of its proper divisors (931790484).

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

450302976 is an equidigital number, since it uses as much as digits as its factorization.

450302976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 450302976 is about 21220.3434467965. The cubic root of 450302976 is about 766.4813740826.

The spelling of 450302976 in words is "four hundred fifty million, three hundred two thousand, nine hundred seventy-six".