5582400 has 84 divisors (see below), whose sum is σ = 18330672. Its totient is φ = 1487360.

The previous prime is 5582363. The next prime is 5582407. The reversal of 5582400 is 42855.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5582407) 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, 4219 + ... + 5381.

Almost surely, 2^5582400 is an apocalyptic number.

5582400 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 5582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9165336).

5582400 is an abundant number, since it is smaller than the sum of its proper divisors (12748272).

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

5582400 is a wasteful number, since it uses less digits than its factorization.

5582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5582400 is about 2362.7103080996. The cubic root of 5582400 is about 177.3945680826.

The spelling of 5582400 in words is "five million, five hundred eighty-two thousand, four hundred".