51408 has 80 divisors (see below), whose sum is σ = 178560. Its totient is φ = 13824.

The previous prime is 51407. The next prime is 51413. The reversal of 51408 is 80415.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51407) 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, 3016 + ... + 3032.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

2⁵¹⁴⁰⁸ 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 51408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

51408 is an abundant number, since it is smaller than the sum of its proper divisors (127152).

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

51408 is a wasteful number, since it uses less digits than its factorization.

51408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 29 counting only the distinct ones).

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

The square root of 51408 is about 226.7333235323. The cubic root of 51408 is about 37.1829266084.

The spelling of 51408 in words is "fifty-one thousand, four hundred eight".