495295680 has 448 divisors, whose sum is σ = 1896099840. Its totient is φ = 108134400.

The previous prime is 495295657. The next prime is 495295681. The reversal of 495295680 is 86592594.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (495295681) 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 63 ways as a sum of consecutive naturals, for example, 5565076 + ... + 5565164.

Almost surely, 2^495295680 is an apocalyptic number.

495295680 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 495295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948049920).

495295680 is an abundant number, since it is smaller than the sum of its proper divisors (1400804160).

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

495295680 is a wasteful number, since it uses less digits than its factorization.

495295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 495295680 is about 22255.2393831206. The cubic root of 495295680 is about 791.2034640416.

The spelling of 495295680 in words is "four hundred ninety-five million, two hundred ninety-five thousand, six hundred eighty".