495351168 has 192 divisors, whose sum is σ = 1511946000. Its totient is φ = 143130624.

The previous prime is 495351113. The next prime is 495351169. The reversal of 495351168 is 861153594.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495351169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1103008 + ... + 1103456.

Almost surely, 2^495351168 is an apocalyptic number.

495351168 is a gapful number since it is divisible by the number (48) 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 495351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755973000).

495351168 is an abundant number, since it is smaller than the sum of its proper divisors (1016594832).

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

495351168 is a wasteful number, since it uses less digits than its factorization.

495351168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 484 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 495351168 is about 22256.4859760026. The cubic root of 495351168 is about 791.2330091263.

The spelling of 495351168 in words is "four hundred ninety-five million, three hundred fifty-one thousand, one hundred sixty-eight".