495072045 has 96 divisors (see below), whose sum is σ = 994436352. Its totient is φ = 225662976.

The previous prime is 495072041. The next prime is 495072047. The reversal of 495072045 is 540270594.

It is not a de Polignac number, because 495072045 - 2² = 495072041 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495072041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 665944 + ... + 666686.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 2^495072045 is an apocalyptic number.

495072045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

495072045 is an abundant number, since it is smaller than the sum of its proper divisors (499364307).

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

495072045 is a wasteful number, since it uses less digits than its factorization.

495072045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 495072045 is about 22250.2144933481. The cubic root of 495072045 is about 791.0843652008.

The spelling of 495072045 in words is "four hundred ninety-five million, seventy-two thousand, forty-five".