450635900 has 72 divisors (see below), whose sum is σ = 1148874384. Its totient is φ = 151257600.

The previous prime is 450635869. The next prime is 450635909. The reversal of 450635900 is 9536054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450635909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1457 + ... + 30056.

Almost surely, 2^450635900 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 450635900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574437192).

450635900 is an abundant number, since it is smaller than the sum of its proper divisors (698238484).

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

450635900 is a wasteful number, since it uses less digits than its factorization.

450635900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31551 (or 31544 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 450635900 is about 21228.1864510372. The cubic root of 450635900 is about 766.6702226258.

The spelling of 450635900 in words is "four hundred fifty million, six hundred thirty-five thousand, nine hundred".