51960480 has 192 divisors, whose sum is σ = 192544128. Its totient is φ = 11612160.

The previous prime is 51960463. The next prime is 51960481. The reversal of 51960480 is 8406915.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51960481) 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 31 ways as a sum of consecutive naturals, for example, 68262 + ... + 69018.

It is an arithmetic number, because the mean of its divisors is an integer number (1002834).

Almost surely, 2^51960480 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 51960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96272064).

51960480 is an abundant number, since it is smaller than the sum of its proper divisors (140583648).

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

51960480 is a wasteful number, since it uses less digits than its factorization.

51960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 51960480 is about 7208.3618111191. The cubic root of 51960480 is about 373.1565347679.

The spelling of 51960480 in words is "fifty-one million, nine hundred sixty thousand, four hundred eighty".