495941000 has 64 divisors (see below), whose sum is σ = 1228808880. Its totient is φ = 186700800.

The previous prime is 495940997. The next prime is 495941009. The reversal of 495941000 is 149594.

It can be written as a sum of positive squares in 8 ways, for example, as 3189796 + 492751204 = 1786^2 + 22198^2 .

It is not an unprimeable number, because it can be changed into a prime (495941009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2414 + ... + 31586.

Almost surely, 2^495941000 is an apocalyptic number.

495941000 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 495941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614404440).

495941000 is an abundant number, since it is smaller than the sum of its proper divisors (732867880).

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

495941000 is a wasteful number, since it uses less digits than its factorization.

495941000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29211 (or 29197 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 495941000 is about 22269.7328228248. The cubic root of 495941000 is about 791.5469341855.

The spelling of 495941000 in words is "four hundred ninety-five million, nine hundred forty-one thousand".