450115200 has 144 divisors (see below), whose sum is σ = 1606216950. Its totient is φ = 120023040.

The previous prime is 450115199. The next prime is 450115201. The reversal of 450115200 is 2511054.

450115200 is a `hidden beast` number, since 450 + 1 + 15 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (450115199) and next prime (450115201).

It can be written as a sum of positive squares in 3 ways, for example, as 438986304 + 11128896 = 20952^2 + 3336^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (450115201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20986 + ... + 36614.

Almost surely, 2^450115200 is an apocalyptic number.

450115200 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 450115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803108475).

450115200 is an abundant number, since it is smaller than the sum of its proper divisors (1156101750).

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

450115200 is a wasteful number, since it uses less digits than its factorization.

450115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15659 (or 15639 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 450115200 is about 21215.9185518799. The cubic root of 450115200 is about 766.3748185525.

Adding to 450115200 its reverse (2511054), we get a palindrome (452626254).

It can be divided in two parts, 4501 and 15200, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 450115200 in words is "four hundred fifty million, one hundred fifteen thousand, two hundred".