450665600 has 384 divisors, whose sum is σ = 1457049600. Its totient is φ = 133632000.

The previous prime is 450665599. The next prime is 450665609. The reversal of 450665600 is 6566054.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (450665609) 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 47 ways as a sum of consecutive naturals, for example, 7638371 + ... + 7638429.

It is an arithmetic number, because the mean of its divisors is an integer number (3794400).

Almost surely, 2^450665600 is an apocalyptic number.

450665600 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 450665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728524800).

450665600 is an abundant number, since it is smaller than the sum of its proper divisors (1006384000).

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

450665600 is a wasteful number, since it uses less digits than its factorization.

450665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 450665600 is about 21228.8859811343. The cubic root of 450665600 is about 766.6870651997.

The spelling of 450665600 in words is "four hundred fifty million, six hundred sixty-five thousand, six hundred".