450415264 has 24 divisors (see below), whose sum is σ = 954967860. Its totient is φ = 207883776.

The previous prime is 450415249. The next prime is 450415283. The reversal of 450415264 is 462514054.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 391248400 + 59166864 = 19780^2 + 7692^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 540949 + ... + 541780.

Almost surely, 2^450415264 is an apocalyptic number.

It is an amenable number.

450415264 is an abundant number, since it is smaller than the sum of its proper divisors (504552596).

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

450415264 is a wasteful number, since it uses less digits than its factorization.

450415264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082752 (or 1082744 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 450415264 is about 21222.9890449013. The cubic root of 450415264 is about 766.5450789748.

It can be divided in two parts, 45041 and 5264, that added together give a palindrome (50305).

The spelling of 450415264 in words is "four hundred fifty million, four hundred fifteen thousand, two hundred sixty-four".