5466384 has 240 divisors, whose sum is σ = 20891520. Its totient is φ = 1290240.

The previous prime is 5466379. The next prime is 5466397. The reversal of 5466384 is 4836645.

It is a super-3 number, since 3×5466384³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188482 + ... + 188510.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 2^5466384 is an apocalyptic number.

5466384 is the 1479-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5466384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

5466384 is an abundant number, since it is smaller than the sum of its proper divisors (15425136).

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

5466384 is a wasteful number, since it uses less digits than its factorization.

5466384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 69 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5466384 is about 2338.0299399281. The cubic root of 5466384 is about 176.1570567756.

The spelling of 5466384 in words is "five million, four hundred sixty-six thousand, three hundred eighty-four".