1830400 has 120 divisors (see below), whose sum is σ = 5327784. Its totient is φ = 614400.

The previous prime is 1830391. The next prime is 1830401. The reversal of 1830400 is 40381.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140794 + ... + 140806.

2^1830400 is an apocalyptic number.

1830400 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 1830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663892).

1830400 is an abundant number, since it is smaller than the sum of its proper divisors (3497384).

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

1830400 is a wasteful number, since it uses less digits than its factorization.

1830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1830400 is about 1352.9227620230. The cubic root of 1830400 is about 122.3250313414.

Adding to 1830400 its reverse (40381), we get a palindrome (1870781).

The spelling of 1830400 in words is "one million, eight hundred thirty thousand, four hundred".