679488400 has 90 divisors (see below), whose sum is σ = 1670112290. Its totient is φ = 265666560.

The previous prime is 679488391. The next prime is 679488409. The reversal of 679488400 is 4884976.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (679488391) and next prime (679488409).

It can be written as a sum of positive squares in 3 ways, for example, as 25765776 + 653722624 = 5076^2 + 25568^2 .

It is not an unprimeable number, because it can be changed into a prime (679488409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 883216 + ... + 883984.

Almost surely, 2^679488400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835056145).

679488400 is an abundant number, since it is smaller than the sum of its proper divisors (990623890).

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

679488400 is a wasteful number, since it uses less digits than its factorization.

679488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 679488400 is about 26066.9982928606. The cubic root of 679488400 is about 879.1453479204.

The spelling of 679488400 in words is "six hundred seventy-nine million, four hundred eighty-eight thousand, four hundred".