51174200 has 96 divisors (see below), whose sum is σ = 148383360. Its totient is φ = 15945600.

The previous prime is 51174187. The next prime is 51174209. The reversal of 51174200 is 247115.

51174200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51174209) 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 23 ways as a sum of consecutive naturals, for example, 13739 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (1545660).

Almost surely, 2^51174200 is an apocalyptic number.

51174200 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 51174200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74191680).

51174200 is an abundant number, since it is smaller than the sum of its proper divisors (97209160).

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

51174200 is a wasteful number, since it uses less digits than its factorization.

51174200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 51174200 is about 7153.6144710209. The cubic root of 51174200 is about 371.2647248597.

The spelling of 51174200 in words is "fifty-one million, one hundred seventy-four thousand, two hundred".