679408400 has 240 divisors, whose sum is σ = 1952875008. Its totient is φ = 224256000.

The previous prime is 679408397. The next prime is 679408409. The reversal of 679408400 is 4804976.

It is a happy number.

679408400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (679408409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2318654 + ... + 2318946.

Almost surely, 2^679408400 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 679408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976437504).

679408400 is an abundant number, since it is smaller than the sum of its proper divisors (1273466608).

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

679408400 is a wasteful number, since it uses less digits than its factorization.

679408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 679408400 is about 26065.4637403596. The cubic root of 679408400 is about 879.1108443202.

The spelling of 679408400 in words is "six hundred seventy-nine million, four hundred eight thousand, four hundred".