5408920 has 64 divisors (see below), whose sum is σ = 13996800. Its totient is φ = 1860480.

The previous prime is 5408917. The next prime is 5408947. The reversal of 5408920 is 298045.

It is a happy number.

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, 8037 + ... + 8683.

It is an arithmetic number, because the mean of its divisors is an integer number (218700).

Almost surely, 2^5408920 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 5408920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998400).

5408920 is an abundant number, since it is smaller than the sum of its proper divisors (8587880).

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

5408920 is a wasteful number, since it uses less digits than its factorization.

5408920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 5408920 is about 2325.7084942013. The cubic root of 5408920 is about 175.5376120337.

It can be divided in two parts, 5408 and 920, that added together give a triangular number (6328 = T₁₁₂).

The spelling of 5408920 in words is "five million, four hundred eight thousand, nine hundred twenty".