495200 has 36 divisors (see below), whose sum is σ = 1210860. Its totient is φ = 197760.

The previous prime is 495199. The next prime is 495211. The reversal of 495200 is 2594.

495200 = T₁₁₅ + T₁₁₆ + ... + T₁₆₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 495200.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 491 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (33635).

2⁴⁹⁵²⁰⁰ is an apocalyptic number.

495200 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 495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605430).

495200 is an abundant number, since it is smaller than the sum of its proper divisors (715660).

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

495200 is a wasteful number, since it uses less digits than its factorization.

495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 495200 is about 703.7044834304. The cubic root of 495200 is about 79.1152513182.

Adding to 495200 its reverse (2594), we get a palindrome (497794).

The spelling of 495200 in words is "four hundred ninety-five thousand, two hundred".