495935000 has 160 divisors (see below), whose sum is σ = 1295585280. Its totient is φ = 176400000.

The previous prime is 495934991. The next prime is 495935059. The reversal of 495935000 is 539594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3904937 + ... + 3905063.

It is an arithmetic number, because the mean of its divisors is an integer number (8097408).

Almost surely, 2^495935000 is an apocalyptic number.

495935000 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 495935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647792640).

495935000 is an abundant number, since it is smaller than the sum of its proper divisors (799650280).

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

495935000 is a wasteful number, since it uses less digits than its factorization.

495935000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 495935000 is about 22269.5981104285. The cubic root of 495935000 is about 791.5437420714.

The spelling of 495935000 in words is "four hundred ninety-five million, nine hundred thirty-five thousand".