450114600 has 288 divisors, whose sum is σ = 1584809280. Its totient is φ = 105431040.

The previous prime is 450114589. The next prime is 450114607. The reversal of 450114600 is 6411054.

It is not an unprimeable number, because it can be changed into a prime (450114607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2332104 + ... + 2332296.

It is an arithmetic number, because the mean of its divisors is an integer number (5502810).

Almost surely, 2^450114600 is an apocalyptic number.

450114600 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 450114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792404640).

450114600 is an abundant number, since it is smaller than the sum of its proper divisors (1134694680).

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

450114600 is a wasteful number, since it uses less digits than its factorization.

450114600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 450114600 is about 21215.9044115494. The cubic root of 450114600 is about 766.3744780285.

Adding to 450114600 its reverse (6411054), we get a palindrome (456525654).

The spelling of 450114600 in words is "four hundred fifty million, one hundred fourteen thousand, six hundred".