5580400 has 60 divisors (see below), whose sum is σ = 15329872. Its totient is φ = 1912320.

The previous prime is 5580391. The next prime is 5580401. The reversal of 5580400 is 40855.

It is a happy number.

It is a super-2 number, since 2×5580400² = 62281728320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5580401) 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, 1804 + ... + 3796.

Almost surely, 2^5580400 is an apocalyptic number.

5580400 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 5580400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664936).

5580400 is an abundant number, since it is smaller than the sum of its proper divisors (9749472).

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

5580400 is a wasteful number, since it uses less digits than its factorization.

5580400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5580400 is about 2362.2870274376. The cubic root of 5580400 is about 177.3733805698.

The spelling of 5580400 in words is "five million, five hundred eighty thousand, four hundred".