5382416 has 40 divisors (see below), whose sum is σ = 11379480. Its totient is φ = 2451456.

The previous prime is 5382413. The next prime is 5382449. The reversal of 5382416 is 6142835.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 5290000 = 304^2 + 2300^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5382413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23390 + ... + 23618.

It is an arithmetic number, because the mean of its divisors is an integer number (284487).

Almost surely, 2^5382416 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 5382416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689740).

5382416 is an abundant number, since it is smaller than the sum of its proper divisors (5997064).

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

5382416 is a wasteful number, since it uses less digits than its factorization.

5382416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 5382416 is about 2320.0034482733. The cubic root of 5382416 is about 175.2504278573.

It can be divided in two parts, 53824 and 16, that multiplied together give a square (861184 = 928²).

The spelling of 5382416 in words is "five million, three hundred eighty-two thousand, four hundred sixteen".