57004200 has 144 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 13814400.

The previous prime is 57004187. The next prime is 57004201. The reversal of 57004200 is 240075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (57004201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18361 + ... + 21239.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 2^57004200 is an apocalyptic number.

57004200 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 57004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

57004200 is an abundant number, since it is smaller than the sum of its proper divisors (151911000).

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

57004200 is a wasteful number, since it uses less digits than its factorization.

57004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2912 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57004200 is about 7550.1125819421. The cubic root of 57004200 is about 384.8595653544.

Adding to 57004200 its reverse (240075), we get a palindrome (57244275).

The spelling of 57004200 in words is "fifty-seven million, four thousand, two hundred".