51468384 has 192 divisors, whose sum is σ = 161989632. Its totient is φ = 14131200.

The previous prime is 51468349. The next prime is 51468409. The reversal of 51468384 is 48386415.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843714 + ... + 843774.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^51468384 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 51468384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80994816).

51468384 is an abundant number, since it is smaller than the sum of its proper divisors (110521248).

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

51468384 is a wasteful number, since it uses less digits than its factorization.

51468384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 51468384 is about 7174.1469179269. The cubic root of 51468384 is about 371.9747930660.

It can be divided in two parts, 5146 and 8384, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 51468384 in words is "fifty-one million, four hundred sixty-eight thousand, three hundred eighty-four".