1100530400 has 72 divisors (see below), whose sum is σ = 2696718024. Its totient is φ = 438566400.

The previous prime is 1100530399. The next prime is 1100530421. The reversal of 1100530400 is 40350011.

It is a super-2 number, since 2×1100530400² = 2422334322648320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223970 + ... + 228830.

It is an arithmetic number, because the mean of its divisors is an integer number (37454417).

Almost surely, 2^1100530400 is an apocalyptic number.

1100530400 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 1100530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348359012).

1100530400 is an abundant number, since it is smaller than the sum of its proper divisors (1596187624).

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

1100530400 is a wasteful number, since it uses less digits than its factorization.

1100530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5151 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1100530400 is about 33174.2430207533. The cubic root of 1100530400 is about 1032.4460043640.

Adding to 1100530400 its reverse (40350011), we get a palindrome (1140880411).

The spelling of 1100530400 in words is "one billion, one hundred million, five hundred thirty thousand, four hundred".