51589440 has 224 divisors, whose sum is σ = 208239360. Its totient is φ = 11778048.

The previous prime is 51589403. The next prime is 51589451. The reversal of 51589440 is 4498515.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×51589440² = 5322940639027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 51589395 and 51589404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60054 + ... + 60906.

It is an arithmetic number, because the mean of its divisors is an integer number (929640).

Almost surely, 2^51589440 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 51589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104119680).

51589440 is an abundant number, since it is smaller than the sum of its proper divisors (156649920).

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

51589440 is a wasteful number, since it uses less digits than its factorization.

51589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51589440 is about 7182.5789240356. The cubic root of 51589440 is about 372.2661986440.

The spelling of 51589440 in words is "fifty-one million, five hundred eighty-nine thousand, four hundred forty".