1100400 has 120 divisors (see below), whose sum is σ = 4059264. Its totient is φ = 249600.

The previous prime is 1100387. The next prime is 1100419. The reversal of 1100400 is 40011.

It is a Cunningham number, because it is equal to 1049²-1.

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8335 + ... + 8465.

2^1100400 is an apocalyptic number.

1100400 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 1100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029632).

1100400 is an abundant number, since it is smaller than the sum of its proper divisors (2958864).

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

1100400 is a wasteful number, since it uses less digits than its factorization.

1100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1100400 is about 1048.9995233555. Note that the first 3 decimals coincide. The cubic root of 1100400 is about 103.2405225155.

Adding to 1100400 its reverse (40011), we get a palindrome (1140411).

The spelling of 1100400 in words is "one million, one hundred thousand, four hundred".