450411120 has 120 divisors (see below), whose sum is σ = 1531058256. Its totient is φ = 118646784.

The previous prime is 450411113. The next prime is 450411127. The reversal of 450411120 is 21114054.

It is an interprime number because it is at equal distance from previous prime (450411113) and next prime (450411127).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 450411093 and 450411102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450411127) 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, 55992 + ... + 63528.

Almost surely, 2^450411120 is an apocalyptic number.

450411120 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 450411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765529128).

450411120 is an abundant number, since it is smaller than the sum of its proper divisors (1080647136).

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

450411120 is a wasteful number, since it uses less digits than its factorization.

450411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 450411120 is about 21222.8914146965. The cubic root of 450411120 is about 766.5427281275.

Adding to 450411120 its reverse (21114054), we get a palindrome (471525174).

The spelling of 450411120 in words is "four hundred fifty million, four hundred eleven thousand, one hundred twenty".