495265920 has 256 divisors, whose sum is σ = 1670906880. Its totient is φ = 124600320.

The previous prime is 495265909. The next prime is 495265933. The reversal of 495265920 is 29562594.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3154482 + ... + 3154638.

It is an arithmetic number, because the mean of its divisors is an integer number (6526980).

Almost surely, 2^495265920 is an apocalyptic number.

495265920 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 495265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835453440).

495265920 is an abundant number, since it is smaller than the sum of its proper divisors (1175640960).

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

495265920 is a wasteful number, since it uses less digits than its factorization.

495265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 495265920 is about 22254.5707664740. The cubic root of 495265920 is about 791.1876171528.

The spelling of 495265920 in words is "four hundred ninety-five million, two hundred sixty-five thousand, nine hundred twenty".