450204120 has 144 divisors (see below), whose sum is σ = 1516376160. Its totient is φ = 115836672.

The previous prime is 450204089. The next prime is 450204121. The reversal of 450204120 is 21402054.

450204120 is a `hidden beast` number, since 450 + 204 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 450204093 and 450204102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450204121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 302017 + ... + 303503.

It is an arithmetic number, because the mean of its divisors is an integer number (10530390).

Almost surely, 2^450204120 is an apocalyptic number.

450204120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758188080).

450204120 is an abundant number, since it is smaller than the sum of its proper divisors (1066172040).

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

450204120 is a wasteful number, since it uses less digits than its factorization.

450204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 450204120 is about 21218.0140446744. The cubic root of 450204120 is about 766.4252808652.

Adding to 450204120 its reverse (21402054), we get a palindrome (471606174).

The spelling of 450204120 in words is "four hundred fifty million, two hundred four thousand, one hundred twenty".