51379200 has 198 divisors, whose sum is σ = 184786784. Its totient is φ = 13639680.

The previous prime is 51379189. The next prime is 51379201. The reversal of 51379200 is 297315.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51379201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230289 + ... + 230511.

Almost surely, 2^51379200 is an apocalyptic number.

51379200 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 51379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92393392).

51379200 is an abundant number, since it is smaller than the sum of its proper divisors (133407584).

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

51379200 is a wasteful number, since it uses less digits than its factorization.

51379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 51379200 is about 7167.9285710727. The cubic root of 51379200 is about 371.7598172098.

The spelling of 51379200 in words is "fifty-one million, three hundred seventy-nine thousand, two hundred".