1091800400 has 30 divisors (see below), whose sum is σ = 2623051422. Its totient is φ = 436720000.

The previous prime is 1091800397. The next prime is 1091800427. The reversal of 1091800400 is 40081901.

It can be written as a sum of positive squares in 3 ways, for example, as 22771984 + 1069028416 = 4772^2 + 32696^2 .

It is a super-2 number, since 2×1091800400² = 2384056226880320000, 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 5 ways as a sum of consecutive naturals, for example, 1364351 + ... + 1365150.

Almost surely, 2^1091800400 is an apocalyptic number.

1091800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1091800400 is an abundant number, since it is smaller than the sum of its proper divisors (1531251022).

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

1091800400 is a wasteful number, since it uses less digits than its factorization.

1091800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729519 (or 2729508 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1091800400 is about 33042.4030603102. The cubic root of 1091800400 is about 1029.7087812131.

The spelling of 1091800400 in words is "one billion, ninety-one million, eight hundred thousand, four hundred".