51845040 has 240 divisors, whose sum is σ = 194987520. Its totient is φ = 12257280.

The previous prime is 51845009. The next prime is 51845041. The reversal of 51845040 is 4054815.

51845040 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 (240).

It is a junction number, because it is equal to n+sod(n) for n = 51844995 and 51845013.

It is not an unprimeable number, because it can be changed into a prime (51845041) 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 47 ways as a sum of consecutive naturals, for example, 271345 + ... + 271535.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 2^51845040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

51845040 is an abundant number, since it is smaller than the sum of its proper divisors (143142480).

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

51845040 is a wasteful number, since it uses less digits than its factorization.

51845040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 51845040 is about 7200.3499914935. The cubic root of 51845040 is about 372.8799840049.

Adding to 51845040 its reverse (4054815), we get a palindrome (55899855).

The spelling of 51845040 in words is "fifty-one million, eight hundred forty-five thousand, forty".