495811800 has 384 divisors, whose sum is σ = 1976659200. Its totient is φ = 112896000.

The previous prime is 495811787. The next prime is 495811807. The reversal of 495811800 is 8118594.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495811807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009555 + ... + 1010045.

It is an arithmetic number, because the mean of its divisors is an integer number (5147550).

Almost surely, 2^495811800 is an apocalyptic number.

495811800 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 495811800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988329600).

495811800 is an abundant number, since it is smaller than the sum of its proper divisors (1480847400).

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

495811800 is a wasteful number, since it uses less digits than its factorization.

495811800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 495811800 is about 22266.8318357148. The cubic root of 495811800 is about 791.4781916361.

The spelling of 495811800 in words is "four hundred ninety-five million, eight hundred eleven thousand, eight hundred".