450330120 has 48 divisors (see below), whose sum is σ = 1463574060. Its totient is φ = 120087936.

The previous prime is 450330113. The next prime is 450330131. The reversal of 450330120 is 21033054.

It can be written as a sum of positive squares in 2 ways, for example, as 448846596 + 1483524 = 21186^2 + 1218^2 .

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 = 450330093 and 450330102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 625099 + ... + 625818.

Almost surely, 2^450330120 is an apocalyptic number.

450330120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450330120 is an abundant number, since it is smaller than the sum of its proper divisors (1013243940).

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

450330120 is a wasteful number, since it uses less digits than its factorization.

450330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250934 (or 1250927 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 450330120 is about 21220.9830121038. The cubic root of 450330120 is about 766.4967747894.

Adding to 450330120 its reverse (21033054), we get a palindrome (471363174).

The spelling of 450330120 in words is "four hundred fifty million, three hundred thirty thousand, one hundred twenty".