450936064 has 36 divisors (see below), whose sum is σ = 903969220. Its totient is φ = 224501760.

The previous prime is 450936061. The next prime is 450936071. The reversal of 450936064 is 460639054.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 271590400 + 179345664 = 16480^2 + 13392^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450936061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58042 + ... + 65350.

Almost surely, 2^450936064 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 450936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451984610).

450936064 is an abundant number, since it is smaller than the sum of its proper divisors (453033156).

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

450936064 is an equidigital number, since it uses as much as digits as its factorization.

450936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 450936064 is about 21235.2552139125. The cubic root of 450936064 is about 766.8404085968.

The spelling of 450936064 in words is "four hundred fifty million, nine hundred thirty-six thousand, sixty-four".