450105600 has 432 divisors, whose sum is σ = 1806634368. Its totient is φ = 96337920.

The previous prime is 450105599. The next prime is 450105661. The reversal of 450105600 is 6501054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2284702 + ... + 2284898.

It is an arithmetic number, because the mean of its divisors is an integer number (4182024).

Almost surely, 2^450105600 is an apocalyptic number.

450105600 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 450105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903317184).

450105600 is an abundant number, since it is smaller than the sum of its proper divisors (1356528768).

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

450105600 is a wasteful number, since it uses less digits than its factorization.

450105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 450105600 is about 21215.6923054611. The cubic root of 450105600 is about 766.3693701320.

Adding to 450105600 its reverse (6501054), we get a palindrome (456606654).

The spelling of 450105600 in words is "four hundred fifty million, one hundred five thousand, six hundred".