57461200 has 30 divisors (see below), whose sum is σ = 138051494. Its totient is φ = 22984320.

The previous prime is 57461189. The next prime is 57461227. The reversal of 57461200 is 216475.

57461200 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 4112784 + 53348416 = 2028^2 + 7304^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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, 71427 + ... + 72226.

Almost surely, 2^57461200 is an apocalyptic number.

57461200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57461200 is an abundant number, since it is smaller than the sum of its proper divisors (80590294).

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

57461200 is a wasteful number, since it uses less digits than its factorization.

57461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143671 (or 143660 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 57461200 is about 7580.3166160788. The cubic root of 57461200 is about 385.8852961729.

Adding to 57461200 its reverse (216475), we get a palindrome (57677675).

The spelling of 57461200 in words is "fifty-seven million, four hundred sixty-one thousand, two hundred".