450231040 has 144 divisors (see below), whose sum is σ = 1246512960. Its totient is φ = 152616960.

The previous prime is 450231037. The next prime is 450231071. The reversal of 450231040 is 40132054.

It is a junction number, because it is equal to n+sod(n) for n = 450230999 and 450231017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976410 + ... + 976870.

It is an arithmetic number, because the mean of its divisors is an integer number (8656340).

Almost surely, 2^450231040 is an apocalyptic number.

450231040 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 450231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623256480).

450231040 is an abundant number, since it is smaller than the sum of its proper divisors (796281920).

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

450231040 is a wasteful number, since it uses less digits than its factorization.

450231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 450231040 is about 21218.6484018186. The cubic root of 450231040 is about 766.4405567193.

Adding to 450231040 its reverse (40132054), we get a palindrome (490363094).

The spelling of 450231040 in words is "four hundred fifty million, two hundred thirty-one thousand, forty".