51180480 has 168 divisors, whose sum is σ = 189719712. Its totient is φ = 12589056.

The previous prime is 51180469. The next prime is 51180487. The reversal of 51180480 is 8408115.

51180480 is a `hidden beast` number, since 5 + 1 + 180 + 480 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51180487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36757 + ... + 38123.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 2^51180480 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 51180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94859856).

51180480 is an abundant number, since it is smaller than the sum of its proper divisors (138539232).

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

51180480 is a wasteful number, since it uses less digits than its factorization.

51180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 51180480 is about 7154.0533965019. The cubic root of 51180480 is about 371.2799112043.

Adding to 51180480 its reverse (8408115), we get a palindrome (59588595).

The spelling of 51180480 in words is "fifty-one million, one hundred eighty thousand, four hundred eighty".