51324800 has 96 divisors (see below), whose sum is σ = 130084680. Its totient is φ = 19998720.

The previous prime is 51324739. The next prime is 51324811. The reversal of 51324800 is 842315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137414 + ... + 137786.

Almost surely, 2^51324800 is an apocalyptic number.

51324800 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 51324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65042340).

51324800 is an abundant number, since it is smaller than the sum of its proper divisors (78759880).

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

51324800 is a wasteful number, since it uses less digits than its factorization.

51324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 51324800 is about 7164.1328854231. The cubic root of 51324800 is about 371.6285651607.

The spelling of 51324800 in words is "fifty-one million, three hundred twenty-four thousand, eight hundred".