5419520 has 80 divisors (see below), whose sum is σ = 13626360. Its totient is φ = 2064384.

The previous prime is 5419517. The next prime is 5419553. The reversal of 5419520 is 259145.

It can be written as a sum of positive squares in 4 ways, for example, as 4528384 + 891136 = 2128^2 + 944^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×5419520³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5419520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74204 + ... + 74276.

Almost surely, 2^5419520 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 5419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813180).

5419520 is an abundant number, since it is smaller than the sum of its proper divisors (8206840).

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

5419520 is an equidigital number, since it uses as much as digits as its factorization.

5419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 5419520 is about 2327.9862542550. The cubic root of 5419520 is about 175.6522057371.

The spelling of 5419520 in words is "five million, four hundred nineteen thousand, five hundred twenty".