495550800 has 90 divisors (see below), whose sum is σ = 1719711422. Its totient is φ = 132145920.

The previous prime is 495550793. The next prime is 495550813. The reversal of 495550800 is 8055594.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 23270976 + 472279824 = 4824^2 + 21732^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65227 + ... + 72426.

Almost surely, 2^495550800 is an apocalyptic number.

495550800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495550800 is an abundant number, since it is smaller than the sum of its proper divisors (1224160622).

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

495550800 is a wasteful number, since it uses less digits than its factorization.

495550800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137677 (or 137663 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 495550800 is about 22260.9703292556. The cubic root of 495550800 is about 791.3392867355.

It can be divided in two parts, 4955 and 50800, that added together give a palindrome (55755).

The spelling of 495550800 in words is "four hundred ninety-five million, five hundred fifty thousand, eight hundred".