51750400 has 120 divisors (see below), whose sum is σ = 138522384. Its totient is φ = 19046400.

The previous prime is 51750379. The next prime is 51750401. The reversal of 51750400 is 405715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51750401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166245 + ... + 166555.

Almost surely, 2^51750400 is an apocalyptic number.

51750400 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 51750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69261192).

51750400 is an abundant number, since it is smaller than the sum of its proper divisors (86771984).

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

51750400 is a wasteful number, since it uses less digits than its factorization.

51750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 51750400 is about 7193.7750868372. The cubic root of 51750400 is about 372.6529558175.

The spelling of 51750400 in words is "fifty-one million, seven hundred fifty thousand, four hundred".