51957408 has 48 divisors (see below), whose sum is σ = 136848096. Its totient is φ = 17260800.

The previous prime is 51957407. The next prime is 51957413. The reversal of 51957408 is 80475915.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (51957403) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35083 + ... + 36533.

It is an arithmetic number, because the mean of its divisors is an integer number (2851002).

Almost surely, 2^51957408 is an apocalyptic number.

It is an amenable number.

51957408 is an abundant number, since it is smaller than the sum of its proper divisors (84890688).

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

51957408 is a wasteful number, since it uses less digits than its factorization.

51957408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 51957408 is about 7208.1487221061. The cubic root of 51957408 is about 373.1491807207.

The spelling of 51957408 in words is "fifty-one million, nine hundred fifty-seven thousand, four hundred eight".