874400 has 36 divisors (see below), whose sum is σ = 2136582. Its totient is φ = 349440.

The previous prime is 874397. The next prime is 874403. The reversal of 874400 is 4478.

874400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (874397) and next prime (874403).

It can be written as a sum of positive squares in 3 ways, for example, as 839056 + 35344 = 916^2 + 188^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (874403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254 + ... + 1346.

2⁸⁷⁴⁴⁰⁰ is an apocalyptic number.

874400 is a gapful number since it is divisible by the number (80) 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 874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068291).

874400 is an abundant number, since it is smaller than the sum of its proper divisors (1262182).

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

874400 is a wasteful number, since it uses less digits than its factorization.

874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 874400 is about 935.0935782049. The cubic root of 874400 is about 95.6246920690.

Adding to 874400 its reverse (4478), we get a palindrome (878878).

The spelling of 874400 in words is "eight hundred seventy-four thousand, four hundred".