450910120 has 64 divisors (see below), whose sum is σ = 1047888000. Its totient is φ = 174493440.

The previous prime is 450910111. The next prime is 450910121. The reversal of 450910120 is 21019054.

It is a junction number, because it is equal to n+sod(n) for n = 450910091 and 450910100.

It is not an unprimeable number, because it can be changed into a prime (450910121) 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, 293755 + ... + 295285.

It is an arithmetic number, because the mean of its divisors is an integer number (16373250).

Almost surely, 2^450910120 is an apocalyptic number.

450910120 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 450910120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523944000).

450910120 is an abundant number, since it is smaller than the sum of its proper divisors (596977880).

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

450910120 is a wasteful number, since it uses less digits than its factorization.

450910120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 450910120 is about 21234.6443342007. The cubic root of 450910120 is about 766.8257019375.

Adding to 450910120 its reverse (21019054), we get a palindrome (471929174).

The spelling of 450910120 in words is "four hundred fifty million, nine hundred ten thousand, one hundred twenty".