51908480 has 128 divisors (see below), whose sum is σ = 141886080. Its totient is φ = 17989632.

The previous prime is 51908453. The next prime is 51908489. The reversal of 51908480 is 8480915.

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 51908480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51908489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141257 + ... + 141623.

It is an arithmetic number, because the mean of its divisors is an integer number (1108485).

Almost surely, 2^51908480 is an apocalyptic number.

51908480 is the 4160-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70943040).

51908480 is an abundant number, since it is smaller than the sum of its proper divisors (89977600).

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

51908480 is a wasteful number, since it uses less digits than its factorization.

51908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 51908480 is about 7204.7539860845. The cubic root of 51908480 is about 373.0320131034.

The spelling of 51908480 in words is "fifty-one million, nine hundred eight thousand, four hundred eighty".