467200 has 54 divisors (see below), whose sum is σ = 1172234. Its totient is φ = 184320.

The previous prime is 467197. The next prime is 467209. The reversal of 467200 is 2764.

467200 = T₇₂ + T₇₃ + ... + T₁₄₆.

It can be written as a sum of positive squares in 3 ways, for example, as 36864 + 430336 = 192^2 + 656^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (467209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6364 + ... + 6436.

2⁴⁶⁷²⁰⁰ is an apocalyptic number.

467200 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 467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586117).

467200 is an abundant number, since it is smaller than the sum of its proper divisors (705034).

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

467200 is an equidigital number, since it uses as much as digits as its factorization.

467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 467200 is about 683.5202996254. The cubic root of 467200 is about 77.5950965832.

Adding to 467200 its reverse (2764), we get a palindrome (469964).

The spelling of 467200 in words is "four hundred sixty-seven thousand, two hundred".