51884400 has 60 divisors (see below), whose sum is σ = 166206872. Its totient is φ = 13835520.

The previous prime is 51884353. The next prime is 51884429. The reversal of 51884400 is 448815.

51884400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20419 + ... + 22818.

Almost surely, 2^51884400 is an apocalyptic number.

51884400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51884400 is an abundant number, since it is smaller than the sum of its proper divisors (114322472).

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

51884400 is a wasteful number, since it uses less digits than its factorization.

51884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43258 (or 43247 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 51884400 is about 7203.0826734114. The cubic root of 51884400 is about 372.9743218217.

The spelling of 51884400 in words is "fifty-one million, eight hundred eighty-four thousand, four hundred".