495078080 has 112 divisors (see below), whose sum is σ = 1426683456. Its totient is φ = 159744000.

The previous prime is 495078071. The next prime is 495078083. The reversal of 495078080 is 80870594.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (495078083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31580 + ... + 44580.

Almost surely, 2^495078080 is an apocalyptic number.

495078080 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 495078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713341728).

495078080 is an abundant number, since it is smaller than the sum of its proper divisors (931605376).

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

495078080 is a wasteful number, since it uses less digits than its factorization.

495078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 495078080 is about 22250.3501096050. The cubic root of 495078080 is about 791.0875796654.

The spelling of 495078080 in words is "four hundred ninety-five million, seventy-eight thousand, eighty".