484853760 has 144 divisors (see below), whose sum is σ = 1680735420. Its totient is φ = 129269760.

The previous prime is 484853729. The next prime is 484853771. The reversal of 484853760 is 67358484.

484853760 is a `hidden beast` number, since 484 + 85 + 37 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 483296256 + 1557504 = 21984^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×484853760² = 470166337172275200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89530 + ... + 94790.

Almost surely, 2^484853760 is an apocalyptic number.

484853760 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 484853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840367710).

484853760 is an abundant number, since it is smaller than the sum of its proper divisors (1195881660).

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

484853760 is a wasteful number, since it uses less digits than its factorization.

484853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 484853760 is about 22019.3950870590. The cubic root of 484853760 is about 785.6038249752.

The spelling of 484853760 in words is "four hundred eighty-four million, eight hundred fifty-three thousand, seven hundred sixty".