464200 has 48 divisors (see below), whose sum is σ = 1182960. Its totient is φ = 168000.

The previous prime is 464197. The next prime is 464201. The reversal of 464200 is 2464.

464200 = T₂₈₅ + T₂₈₆ + ... + T₂₉₅.

464200 is nontrivially palindromic in base 9.

It is a plaindrome in base 13.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464200.

It is not an unprimeable number, because it can be changed into a prime (464201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2095 + ... + 2305.

It is an arithmetic number, because the mean of its divisors is an integer number (24645).

2⁴⁶⁴²⁰⁰ is an apocalyptic number.

464200 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 464200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591480).

464200 is an abundant number, since it is smaller than the sum of its proper divisors (718760).

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

464200 is a wasteful number, since it uses less digits than its factorization.

464200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 464200 is about 681.3222438758. The cubic root of 464200 is about 77.4286544235.

Adding to 464200 its reverse (2464), we get a palindrome (466664).

The spelling of 464200 in words is "four hundred sixty-four thousand, two hundred".