495043200 has 144 divisors (see below), whose sum is σ = 1766530350. Its totient is φ = 132003840.

The previous prime is 495043193. The next prime is 495043207. The reversal of 495043200 is 2340594.

It is an interprime number because it is at equal distance from previous prime (495043193) and next prime (495043207).

It can be written as a sum of positive squares in 3 ways, for example, as 459330624 + 35712576 = 21432^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (495043207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20206 + ... + 37394.

Almost surely, 2^495043200 is an apocalyptic number.

495043200 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 495043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883265175).

495043200 is an abundant number, since it is smaller than the sum of its proper divisors (1271487150).

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

495043200 is a wasteful number, since it uses less digits than its factorization.

495043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17219 (or 17199 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 495043200 is about 22249.5662879077. The cubic root of 495043200 is about 791.0690009241.

Adding to 495043200 its reverse (2340594), we get a palindrome (497383794).

The spelling of 495043200 in words is "four hundred ninety-five million, forty-three thousand, two hundred".