5579400 has 96 divisors (see below), whose sum is σ = 18347040. Its totient is φ = 1397760.

The previous prime is 5579381. The next prime is 5579401. The reversal of 5579400 is 49755.

It is a super-2 number, since 2×5579400² = 62259408720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5579401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9927 + ... + 10473.

It is an arithmetic number, because the mean of its divisors is an integer number (191115).

Almost surely, 2^5579400 is an apocalyptic number.

5579400 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 5579400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9173520).

5579400 is an abundant number, since it is smaller than the sum of its proper divisors (12767640).

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

5579400 is a wasteful number, since it uses less digits than its factorization.

5579400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 5579400 is about 2362.0753586624. The cubic root of 5579400 is about 177.3627849150.

The spelling of 5579400 in words is "five million, five hundred seventy-nine thousand, four hundred".