5570400 has 144 divisors (see below), whose sum is σ = 19873728. Its totient is φ = 1344000.

The previous prime is 5570377. The next prime is 5570413. The reversal of 5570400 is 40755.

5570400 is nontrivially palindromic in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26295 + ... + 26505.

It is an arithmetic number, because the mean of its divisors is an integer number (138012).

Almost surely, 2^5570400 is an apocalyptic number.

5570400 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 5570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936864).

5570400 is an abundant number, since it is smaller than the sum of its proper divisors (14303328).

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

5570400 is a wasteful number, since it uses less digits than its factorization.

5570400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 5570400 is about 2360.1694854396. The cubic root of 5570400 is about 177.2673670007.

The spelling of 5570400 in words is "five million, five hundred seventy thousand, four hundred".