57045200 has 60 divisors (see below), whose sum is σ = 145130220. Its totient is φ = 21473280.

The previous prime is 57045199. The next prime is 57045223. The reversal of 57045200 is 254075.

It can be written as a sum of positive squares in 6 ways, for example, as 2521744 + 54523456 = 1588^2 + 7384^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2606 + ... + 10994.

It is an arithmetic number, because the mean of its divisors is an integer number (2418837).

Almost surely, 2^57045200 is an apocalyptic number.

57045200 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 57045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72565110).

57045200 is an abundant number, since it is smaller than the sum of its proper divisors (88085020).

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

57045200 is a wasteful number, since it uses less digits than its factorization.

57045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8424 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 57045200 is about 7552.8272851959. The cubic root of 57045200 is about 384.9518127131.

Adding to 57045200 its reverse (254075), we get a palindrome (57299275).

The spelling of 57045200 in words is "fifty-seven million, forty-five thousand, two hundred".