684228400 has 60 divisors (see below), whose sum is σ = 1650229200. Its totient is φ = 272631040.

The previous prime is 684228367. The next prime is 684228421. The reversal of 684228400 is 4822486.

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, 104421 + ... + 110779.

It is an arithmetic number, because the mean of its divisors is an integer number (27503820).

Almost surely, 2^684228400 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 684228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825114600).

684228400 is an abundant number, since it is smaller than the sum of its proper divisors (966000800).

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

684228400 is a wasteful number, since it uses less digits than its factorization.

684228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 684228400 is about 26157.7598429223. The cubic root of 684228400 is about 881.1848708637.

The spelling of 684228400 in words is "six hundred eighty-four million, two hundred twenty-eight thousand, four hundred".