450165100 has 288 divisors, whose sum is σ = 1364912640. Its totient is φ = 124416000.

The previous prime is 450165097. The next prime is 450165101. The reversal of 450165100 is 1561054.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450165101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2487010 + ... + 2487190.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^450165100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450165100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

450165100 is an abundant number, since it is smaller than the sum of its proper divisors (914747540).

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

450165100 is a wasteful number, since it uses less digits than its factorization.

450165100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 450165100 is about 21217.0945230491. The cubic root of 450165100 is about 766.4031377401.

The spelling of 450165100 in words is "four hundred fifty million, one hundred sixty-five thousand, one hundred".