1105008480 has 288 divisors, whose sum is σ = 3964300704. Its totient is φ = 290635776.

The previous prime is 1105008467. The next prime is 1105008491. The reversal of 1105008480 is 848005011.

1105008480 = 127³ + 128³ + ... + 261³.

1105008480 is a `hidden beast` number, since 1 + 1 + 0 + 500 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3771214 + ... + 3771506.

It is an arithmetic number, because the mean of its divisors is an integer number (13764933).

Almost surely, 2^1105008480 is an apocalyptic number.

1105008480 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 1105008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982150352).

1105008480 is an abundant number, since it is smaller than the sum of its proper divisors (2859292224).

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

1105008480 is an equidigital number, since it uses as much as digits as its factorization.

1105008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1105008480 is about 33241.6678281942. The cubic root of 1105008480 is about 1033.8444570469.

The spelling of 1105008480 in words is "one billion, one hundred five million, eight thousand, four hundred eighty".