4680904000 has 56 divisors (see below), whose sum is σ = 11592278568. Its totient is φ = 1872358400.

The previous prime is 4680903989. The next prime is 4680904001. The reversal of 4680904000 is 4090864.

It can be written as a sum of positive squares in 4 ways, for example, as 206899456 + 4474004544 = 14384^2 + 66888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680904001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284557 + ... + 300556.

Almost surely, 2^4680904000 is an apocalyptic number.

4680904000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4680904000 is an abundant number, since it is smaller than the sum of its proper divisors (6911374568).

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

4680904000 is an equidigital number, since it uses as much as digits as its factorization.

4680904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585140 (or 585120 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4680904000 is about 68417.1323573270. The cubic root of 4680904000 is about 1672.7970147642.

Adding to 4680904000 its reverse (4090864), we get a palindrome (4684994864).

The spelling of 4680904000 in words is "four billion, six hundred eighty million, nine hundred four thousand".