495755920 has 40 divisors (see below), whose sum is σ = 1257419520. Its totient is φ = 180274560.

The previous prime is 495755881. The next prime is 495755927. The reversal of 495755920 is 29557594.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (495755927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280800 + ... + 282559.

It is an arithmetic number, because the mean of its divisors is an integer number (31435488).

Almost surely, 2^495755920 is an apocalyptic number.

495755920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

495755920 is an abundant number, since it is smaller than the sum of its proper divisors (761663600).

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

495755920 is a wasteful number, since it uses less digits than its factorization.

495755920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563383 (or 563377 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 46.

The square root of 495755920 is about 22265.5770192465. The cubic root of 495755920 is about 791.4484562520.

The spelling of 495755920 in words is "four hundred ninety-five million, seven hundred fifty-five thousand, nine hundred twenty".