1208400 has 120 divisors (see below), whose sum is σ = 4151520. Its totient is φ = 299520.

The previous prime is 1208399. The next prime is 1208407. The reversal of 1208400 is 48021.

It is a tau number, because it is divible by the number of its divisors (120).

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 1208400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1208407) 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 23 ways as a sum of consecutive naturals, for example, 22774 + ... + 22826.

It is an arithmetic number, because the mean of its divisors is an integer number (34596).

2^1208400 is an apocalyptic number.

1208400 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 1208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075760).

1208400 is an abundant number, since it is smaller than the sum of its proper divisors (2943120).

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

1208400 is a wasteful number, since it uses less digits than its factorization.

1208400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 82 counting only the distinct ones).

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

The square root of 1208400 is about 1099.2724866929. The cubic root of 1208400 is about 106.5132342654.

The spelling of 1208400 in words is "one million, two hundred eight thousand, four hundred".