683258400 has 216 divisors, whose sum is σ = 2628675504. Its totient is φ = 165619200.

The previous prime is 683258393. The next prime is 683258413. The reversal of 683258400 is 4852386.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74887 + ... + 83513.

It is an arithmetic number, because the mean of its divisors is an integer number (12169794).

Almost surely, 2^683258400 is an apocalyptic number.

683258400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314337752).

683258400 is an abundant number, since it is smaller than the sum of its proper divisors (1945417104).

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

683258400 is a wasteful number, since it uses less digits than its factorization.

683258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8664 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 683258400 is about 26139.2119238511. The cubic root of 683258400 is about 880.7682684755.

The spelling of 683258400 in words is "six hundred eighty-three million, two hundred fifty-eight thousand, four hundred".