450042120 has 96 divisors (see below), whose sum is σ = 1595617920. Its totient is φ = 109100160.

The previous prime is 450042101. The next prime is 450042157. The reversal of 450042120 is 21240054.

450042120 is a `hidden beast` number, since 4 + 500 + 42 + 120 = 666.

450042120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 = 450042093 and 450042102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52864 + ... + 60783.

It is an arithmetic number, because the mean of its divisors is an integer number (16621020).

Almost surely, 2^450042120 is an apocalyptic number.

450042120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450042120 is an abundant number, since it is smaller than the sum of its proper divisors (1145575800).

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

450042120 is a wasteful number, since it uses less digits than its factorization.

450042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113675 (or 113668 counting only the distinct ones).

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

The square root of 450042120 is about 21214.1961902873. The cubic root of 450042120 is about 766.3333405019. Note that the first 4 decimals are identical.

Adding to 450042120 its reverse (21240054), we get a palindrome (471282174).

The spelling of 450042120 in words is "four hundred fifty million, forty-two thousand, one hundred twenty".