1994400 has 108 divisors (see below), whose sum is σ = 7058142. Its totient is φ = 529920.

The previous prime is 1994387. The next prime is 1994413. The reversal of 1994400 is 44991.

1994400 = 22³ + 23³ + ... + 53³.

It is an interprime number because it is at equal distance from previous prime (1994387) and next prime (1994413).

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 853776 = 1068^2 + 924^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7062 + ... + 7338.

2^1994400 is an apocalyptic number.

1994400 is a gapful number since it is divisible by the number (10) 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 1994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529071).

1994400 is an abundant number, since it is smaller than the sum of its proper divisors (5063742).

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

1994400 is a wasteful number, since it uses less digits than its factorization.

1994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1994400 is about 1412.2322755128. The cubic root of 1994400 is about 125.8744024340.

The spelling of 1994400 in words is "one million, nine hundred ninety-four thousand, four hundred".