51874200 has 288 divisors, whose sum is σ = 208915200. Its totient is φ = 11278080.

The previous prime is 51874181. The next prime is 51874231. The reversal of 51874200 is 247815.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 289711 + ... + 289889.

It is an arithmetic number, because the mean of its divisors is an integer number (725400).

Almost surely, 2^51874200 is an apocalyptic number.

51874200 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 51874200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

51874200 is an abundant number, since it is smaller than the sum of its proper divisors (157041000).

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

51874200 is a wasteful number, since it uses less digits than its factorization.

51874200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 51874200 is about 7202.3746084191. The cubic root of 51874200 is about 372.9498791028.

The spelling of 51874200 in words is "fifty-one million, eight hundred seventy-four thousand, two hundred".