57434600 has 24 divisors (see below), whose sum is σ = 133535910. Its totient is φ = 22973760.

The previous prime is 57434593. The next prime is 57434609. The reversal of 57434600 is 643475.

57434600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 31158724 + 26275876 = 5582^2 + 5126^2 .

It is not an unprimeable number, because it can be changed into a prime (57434609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143387 + ... + 143786.

Almost surely, 2^57434600 is an apocalyptic number.

57434600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57434600 is an abundant number, since it is smaller than the sum of its proper divisors (76101310).

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

57434600 is a wasteful number, since it uses less digits than its factorization.

57434600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287189 (or 287180 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 57434600 is about 7578.5618688508. The cubic root of 57434600 is about 385.8257421714.

The spelling of 57434600 in words is "fifty-seven million, four hundred thirty-four thousand, six hundred".