495661680 has 160 divisors (see below), whose sum is σ = 1728966720. Its totient is φ = 132129792.

The previous prime is 495661679. The next prime is 495661703. The reversal of 495661680 is 86166594.

495661680 is a `hidden beast` number, since 4 + 9 + 566 + 1 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 173544 + ... + 176376.

It is an arithmetic number, because the mean of its divisors is an integer number (10806042).

Almost surely, 2^495661680 is an apocalyptic number.

495661680 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 495661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864483360).

495661680 is an abundant number, since it is smaller than the sum of its proper divisors (1233305040).

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

495661680 is an equidigital number, since it uses as much as digits as its factorization.

495661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 495661680 is about 22263.4606474375. The cubic root of 495661680 is about 791.3983033265.

The spelling of 495661680 in words is "four hundred ninety-five million, six hundred sixty-one thousand, six hundred eighty".