684303400 has 72 divisors (see below), whose sum is σ = 1748852910. Its totient is φ = 248828800.

The previous prime is 684303391. The next prime is 684303421. The reversal of 684303400 is 4303486.

It can be written as a sum of positive squares in 3 ways, for example, as 467683876 + 216619524 = 21626^2 + 14718^2 .

It is a super-2 number, since 2×684303400² = 936542286503120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10062 + ... + 38338.

Almost surely, 2^684303400 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 684303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874426455).

684303400 is an abundant number, since it is smaller than the sum of its proper divisors (1064549510).

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

684303400 is a wasteful number, since it uses less digits than its factorization.

684303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28315 (or 28295 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 684303400 is about 26159.1934126418. The cubic root of 684303400 is about 881.2170659858.

Adding to 684303400 its reverse (4303486), we get a palindrome (688606886).

The spelling of 684303400 in words is "six hundred eighty-four million, three hundred three thousand, four hundred".