57467200 has 126 divisors (see below), whose sum is σ = 164716206. Its totient is φ = 19676160.

The previous prime is 57467197. The next prime is 57467209. The reversal of 57467200 is 276475.

It can be written as a sum of positive squares in 3 ways, for example, as 16711744 + 40755456 = 4088^2 + 6384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57467209) by changing a digit.

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, 78034 + ... + 78766.

Almost surely, 2^57467200 is an apocalyptic number.

57467200 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 57467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82358103).

57467200 is an abundant number, since it is smaller than the sum of its proper divisors (107249006).

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

57467200 is a wasteful number, since it uses less digits than its factorization.

57467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 57467200 is about 7580.7123675813. The cubic root of 57467200 is about 385.8987268658.

The spelling of 57467200 in words is "fifty-seven million, four hundred sixty-seven thousand, two hundred".