1105448400 has 180 divisors, whose sum is σ = 4384343392. Its totient is φ = 252668160.

The previous prime is 1105448387. The next prime is 1105448431. The reversal of 1105448400 is 48445011.

It is a happy number.

1105448400 is a `hidden beast` number, since 110 + 544 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3267 + ... + 47133.

Almost surely, 2^1105448400 is an apocalyptic number.

1105448400 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 1105448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192171696).

1105448400 is an abundant number, since it is smaller than the sum of its proper divisors (3278894992).

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

1105448400 is a wasteful number, since it uses less digits than its factorization.

1105448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43898 (or 43884 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1105448400 is about 33248.2841662544. The cubic root of 1105448400 is about 1033.9816350323.

The spelling of 1105448400 in words is "one billion, one hundred five million, four hundred forty-eight thousand, four hundred".