495682000 has 80 divisors (see below), whose sum is σ = 1307577024. Its totient is φ = 180240000.

The previous prime is 495681997. The next prime is 495682009. The reversal of 495682000 is 286594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495682009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10735 + ... + 33265.

Almost surely, 2^495682000 is an apocalyptic number.

495682000 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 495682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653788512).

495682000 is an abundant number, since it is smaller than the sum of its proper divisors (811895024).

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

495682000 is a wasteful number, since it uses less digits than its factorization.

495682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22565 (or 22549 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 495682000 is about 22263.9169958927. The cubic root of 495682000 is about 791.4091178225.

The spelling of 495682000 in words is "four hundred ninety-five million, six hundred eighty-two thousand".