51049440 has 288 divisors, whose sum is σ = 196481376. Its totient is φ = 12441600.

The previous prime is 51049433. The next prime is 51049459. The reversal of 51049440 is 4494015.

51049440 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 (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 505390 + ... + 505490.

It is an arithmetic number, because the mean of its divisors is an integer number (682227).

Almost surely, 2^51049440 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 51049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98240688).

51049440 is an abundant number, since it is smaller than the sum of its proper divisors (145431936).

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

51049440 is a wasteful number, since it uses less digits than its factorization.

51049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51049440 is about 7144.8890824141. The cubic root of 51049440 is about 370.9627714065.

The spelling of 51049440 in words is "fifty-one million, forty-nine thousand, four hundred forty".