2856400 has 60 divisors (see below), whose sum is σ = 7084492. Its totient is φ = 1105920.

The previous prime is 2856397. The next prime is 2856409. The reversal of 2856400 is 46582.

2856400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7056 + 2849344 = 84^2 + 1688^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2856409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14704 + ... + 14896.

2^2856400 is an apocalyptic number.

2856400 is a gapful number since it is divisible by the number (20) 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 2856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542246).

2856400 is an abundant number, since it is smaller than the sum of its proper divisors (4228092).

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

2856400 is a wasteful number, since it uses less digits than its factorization.

2856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2856400 is about 1690.0887550658. The cubic root of 2856400 is about 141.8860422748.

The spelling of 2856400 in words is "two million, eight hundred fifty-six thousand, four hundred".