5408000 has 108 divisors (see below), whose sum is σ = 14588028. Its totient is φ = 1996800.

The previous prime is 5407943. The next prime is 5408003. The reversal of 5408000 is 8045.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 3810304 + 1597696 = 1952^2 + 1264^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5408000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5408003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415994 + ... + 416006.

Almost surely, 2^5408000 is an apocalyptic number.

5408000 is a gapful number since it is divisible by the number (50) 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 5408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7294014).

5408000 is an abundant number, since it is smaller than the sum of its proper divisors (9180028).

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

5408000 is an equidigital number, since it uses as much as digits as its factorization.

5408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 5408000 is about 2325.5106965998. The cubic root of 5408000 is about 175.5276591066.

The spelling of 5408000 in words is "five million, four hundred eight thousand".