1802400 has 72 divisors (see below), whose sum is σ = 5874624. Its totient is φ = 480000.

The previous prime is 1802393. The next prime is 1802407. The reversal of 1802400 is 42081.

It is an interprime number because it is at equal distance from previous prime (1802393) and next prime (1802407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1802400.

It is not an unprimeable number, because it can be changed into a prime (1802407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2025 + ... + 2775.

It is an arithmetic number, because the mean of its divisors is an integer number (81592).

2^1802400 is an apocalyptic number.

1802400 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 1802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937312).

1802400 is an abundant number, since it is smaller than the sum of its proper divisors (4072224).

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

1802400 is a wasteful number, since it uses less digits than its factorization.

1802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1802400 is about 1342.5349157471. The cubic root of 1802400 is about 121.6980799185.

Adding to 1802400 its reverse (42081), we get a palindrome (1844481).

The spelling of 1802400 in words is "one million, eight hundred two thousand, four hundred".