51804000 has 144 divisors (see below), whose sum is σ = 183980160. Its totient is φ = 13804800.

The previous prime is 51803933. The next prime is 51804001. The reversal of 51804000 is 40815.

51804000 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51804001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35281 + ... + 36719.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^51804000 is an apocalyptic number.

51804000 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 51804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

51804000 is an abundant number, since it is smaller than the sum of its proper divisors (132176160).

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

51804000 is a wasteful number, since it uses less digits than its factorization.

51804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51804000 is about 7197.4995658215. The cubic root of 51804000 is about 372.7815687131.

Adding to 51804000 its reverse (40815), we get a palindrome (51844815).

It can be divided in two parts, 5180 and 4000, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 51804000 in words is "fifty-one million, eight hundred four thousand".