450213120 has 288 divisors, whose sum is σ = 1826845440. Its totient is φ = 102850560.

The previous prime is 450213107. The next prime is 450213149. The reversal of 450213120 is 21312054.

450213120 is a `hidden beast` number, since 450 + 213 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 450213093 and 450213102.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 240990 + ... + 242850.

Almost surely, 2^450213120 is an apocalyptic number.

450213120 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 450213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913422720).

450213120 is an abundant number, since it is smaller than the sum of its proper divisors (1376632320).

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

450213120 is a wasteful number, since it uses less digits than its factorization.

450213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 450213120 is about 21218.2261275536. The cubic root of 450213120 is about 766.4303880164.

Adding to 450213120 its reverse (21312054), we get a palindrome (471525174).

The spelling of 450213120 in words is "four hundred fifty million, two hundred thirteen thousand, one hundred twenty".