450251264 has 40 divisors (see below), whose sum is σ = 901549440. Its totient is φ = 224644096.

The previous prime is 450251251. The next prime is 450251279. The reversal of 450251264 is 462152054.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 441347 + ... + 442365.

It is an arithmetic number, because the mean of its divisors is an integer number (22538736).

Almost surely, 2^450251264 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 450251264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450774720).

450251264 is an abundant number, since it is smaller than the sum of its proper divisors (451298176).

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

450251264 is an equidigital number, since it uses as much as digits as its factorization.

450251264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 450251264 is about 21219.1249583954. The cubic root of 450251264 is about 766.4520325027.

The spelling of 450251264 in words is "four hundred fifty million, two hundred fifty-one thousand, two hundred sixty-four".