450685536 has 96 divisors (see below), whose sum is σ = 1379750400. Its totient is φ = 128757888.

The previous prime is 450685531. The next prime is 450685561. The reversal of 450685536 is 635586054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450685531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26085 + ... + 39771.

It is an arithmetic number, because the mean of its divisors is an integer number (14372400).

Almost surely, 2^450685536 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 450685536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689875200).

450685536 is an abundant number, since it is smaller than the sum of its proper divisors (929064864).

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

450685536 is a wasteful number, since it uses less digits than its factorization.

450685536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13721 (or 13699 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 450685536 is about 21229.3555248387. The cubic root of 450685536 is about 766.6983702916.

The spelling of 450685536 in words is "four hundred fifty million, six hundred eighty-five thousand, five hundred thirty-six".