450605264 has 40 divisors (see below), whose sum is σ = 928065600. Its totient is φ = 211209728.

The previous prime is 450605249. The next prime is 450605269. The reversal of 450605264 is 462506054.

It is a self number, because there is not a number n which added to its sum of digits gives 450605264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450605269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68387 + ... + 74685.

It is an arithmetic number, because the mean of its divisors is an integer number (23201640).

Almost surely, 2^450605264 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 450605264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464032800).

450605264 is an abundant number, since it is smaller than the sum of its proper divisors (477460336).

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

450605264 is a wasteful number, since it uses less digits than its factorization.

450605264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6587 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 450605264 is about 21227.4648509896. The cubic root of 450605264 is about 766.6528484802.

The spelling of 450605264 in words is "four hundred fifty million, six hundred five thousand, two hundred sixty-four".