460200 has 96 divisors (see below), whose sum is σ = 1562400. Its totient is φ = 111360.

The previous prime is 460189. The next prime is 460211. The reversal of 460200 is 2064.

460200 = T₁₇₅ + T₁₇₆ + ... + T₂₀₀.

It is an interprime number because it is at equal distance from previous prime (460189) and next prime (460211).

It is a super-5 number, since 5×460200⁵ (a number of 30 digits) contains 55555 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 460200.

It is an unprimeable number.

460200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7771 + ... + 7829.

It is an arithmetic number, because the mean of its divisors is an integer number (16275).

2⁴⁶⁰²⁰⁰ is an apocalyptic number.

460200 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 460200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781200).

460200 is an abundant number, since it is smaller than the sum of its proper divisors (1102200).

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

460200 is a wasteful number, since it uses less digits than its factorization.

460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 460200 is about 678.3804242459. The cubic root of 460200 is about 77.2056122706.

Adding to 460200 its reverse (2064), we get a palindrome (462264).

The spelling of 460200 in words is "four hundred sixty thousand, two hundred".