451200 has 96 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 117760.

The previous prime is 451183. The next prime is 451201. The reversal of 451200 is 2154.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (451201) by changing a digit.

451200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9577 + ... + 9623.

It is an arithmetic number, because the mean of its divisors is an integer number (15810).

2⁴⁵¹²⁰⁰ is an apocalyptic number.

451200 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 451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

451200 is an abundant number, since it is smaller than the sum of its proper divisors (1066560).

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

451200 is a wasteful number, since it uses less digits than its factorization.

451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 451200 is about 671.7142249499. The cubic root of 451200 is about 76.6989991750.

Adding to 451200 its reverse (2154), we get a palindrome (453354).

The spelling of 451200 in words is "four hundred fifty-one thousand, two hundred".