51480 has 96 divisors (see below), whose sum is σ = 196560. Its totient is φ = 11520.

The previous prime is 51479. The next prime is 51481. The reversal of 51480 is 8415.

It is an interprime number because it is at equal distance from previous prime (51479) and next prime (51481).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 51480.

It is not an unprimeable number, because it can be changed into a prime (51481) 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, 3954 + ... + 3966.

2⁵¹⁴⁸⁰ 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 51480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

51480 is an abundant number, since it is smaller than the sum of its proper divisors (145080).

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

51480 is a wasteful number, since it uses less digits than its factorization.

51480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51480 is about 226.8920448143. The cubic root of 51480 is about 37.2002774867.

Adding to 51480 its reverse (8415), we get a palindrome (59895).

It can be divided in two parts, 5 and 1480, that added together give a triangular number (1485 = T₅₄).

The spelling of 51480 in words is "fifty-one thousand, four hundred eighty".