51184400 has 60 divisors (see below), whose sum is σ = 126010164. Its totient is φ = 19968000.

The previous prime is 51184381. The next prime is 51184409. The reversal of 51184400 is 448115.

It can be written as a sum of positive squares in 6 ways, for example, as 26543104 + 24641296 = 5152^2 + 4964^2 .

It is not an unprimeable number, because it can be changed into a prime (51184409) 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, 14840 + ... + 17960.

Almost surely, 2^51184400 is an apocalyptic number.

51184400 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 51184400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63005082).

51184400 is an abundant number, since it is smaller than the sum of its proper divisors (74825764).

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

51184400 is a wasteful number, since it uses less digits than its factorization.

51184400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 51184400 is about 7154.3273618140. The cubic root of 51184400 is about 371.2893899489.

The spelling of 51184400 in words is "fifty-one million, one hundred eighty-four thousand, four hundred".