450105840 has 180 divisors, whose sum is σ = 1549908984. Its totient is φ = 117059328.

The previous prime is 450105779. The next prime is 450105847. The reversal of 450105840 is 48501054.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450105847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1590339 + ... + 1590621.

Almost surely, 2^450105840 is an apocalyptic number.

450105840 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 450105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774954492).

450105840 is an abundant number, since it is smaller than the sum of its proper divisors (1099803144).

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

450105840 is a wasteful number, since it uses less digits than its factorization.

450105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 450105840 is about 21215.6979616509. The cubic root of 450105840 is about 766.3695063435.

Adding to 450105840 its reverse (48501054), we get a palindrome (498606894).

The spelling of 450105840 in words is "four hundred fifty million, one hundred five thousand, eight hundred forty".