1984400 has 90 divisors (see below), whose sum is σ = 5368146. Its totient is φ = 704000.

The previous prime is 1984399. The next prime is 1984429. The reversal of 1984400 is 44891.

It can be written as a sum of positive squares in 3 ways, for example, as 1936 + 1982464 = 44^2 + 1408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1984400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48380 + ... + 48420.

2^1984400 is an apocalyptic number.

1984400 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 1984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684073).

1984400 is an abundant number, since it is smaller than the sum of its proper divisors (3383746).

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

1984400 is a wasteful number, since it uses less digits than its factorization.

1984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1984400 is about 1408.6873322352. The cubic root of 1984400 is about 125.6636700999.

The spelling of 1984400 in words is "one million, nine hundred eighty-four thousand, four hundred".