57830400 has 198 divisors, whose sum is σ = 207885132. Its totient is φ = 15360000.

The previous prime is 57830393. The next prime is 57830401. The reversal of 57830400 is 403875.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (57830401) 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, 230275 + ... + 230525.

Almost surely, 2^57830400 is an apocalyptic number.

57830400 is a gapful number since it is divisible by the number (50) 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 57830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103942566).

57830400 is an abundant number, since it is smaller than the sum of its proper divisors (150054732).

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

57830400 is a wasteful number, since it uses less digits than its factorization.

57830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57830400 is about 7604.6301685223. The cubic root of 57830400 is about 386.7099964655.

The spelling of 57830400 in words is "fifty-seven million, eight hundred thirty thousand, four hundred".