5219424 has 96 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1489536.

The previous prime is 5219393. The next prime is 5219441. The reversal of 5219424 is 4249125.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5617 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^5219424 is an apocalyptic number.

5219424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5219424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5219424 is an abundant number, since it is smaller than the sum of its proper divisors (12198816).

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

5219424 is a wasteful number, since it uses less digits than its factorization.

5219424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5219424 is about 2284.6058741061. The cubic root of 5219424 is about 173.4632687789.

Subtracting from 5219424 its reverse (4249125), we obtain a cube (970299 = 99³).

The spelling of 5219424 in words is "five million, two hundred nineteen thousand, four hundred twenty-four".