51277440 has 128 divisors (see below), whose sum is σ = 173171520. Its totient is φ = 12861440.

The previous prime is 51277433. The next prime is 51277459. The reversal of 51277440 is 4477215.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51277398 and 51277407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31855 + ... + 33425.

Almost surely, 2^51277440 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 51277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86585760).

51277440 is an abundant number, since it is smaller than the sum of its proper divisors (121894080).

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

51277440 is a wasteful number, since it uses less digits than its factorization.

51277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 51277440 is about 7160.8267679089. The cubic root of 51277440 is about 371.5142231325.

The spelling of 51277440 in words is "fifty-one million, two hundred seventy-seven thousand, four hundred forty".