495447680 has 256 divisors, whose sum is σ = 1497000960. Its totient is φ = 152616960.

The previous prime is 495447661. The next prime is 495447737. The reversal of 495447680 is 86744594.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 2737190 + ... + 2737370.

It is an arithmetic number, because the mean of its divisors is an integer number (5847660).

Almost surely, 2^495447680 is an apocalyptic number.

495447680 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 495447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

495447680 is an abundant number, since it is smaller than the sum of its proper divisors (1001553280).

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

495447680 is a wasteful number, since it uses less digits than its factorization.

495447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 495447680 is about 22258.6540473587. The cubic root of 495447680 is about 791.2843925530.

The spelling of 495447680 in words is "four hundred ninety-five million, four hundred forty-seven thousand, six hundred eighty".