1190400 has 120 divisors (see below), whose sum is σ = 4059264. Its totient is φ = 307200.

The previous prime is 1190381. The next prime is 1190417. The reversal of 1190400 is 40911.

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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1190400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38385 + ... + 38415.

2^1190400 is an apocalyptic number.

1190400 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 1190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029632).

1190400 is an abundant number, since it is smaller than the sum of its proper divisors (2868864).

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

1190400 is an equidigital number, since it uses as much as digits as its factorization.

1190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1190400 is about 1091.0545357589. The cubic root of 1190400 is about 105.9817222550.

The spelling of 1190400 in words is "one million, one hundred ninety thousand, four hundred".