1109256480 has 144 divisors (see below), whose sum is σ = 3984664320. Its totient is φ = 280226304.

The previous prime is 1109256469. The next prime is 1109256497. The reversal of 1109256480 is 846529011.

1109256480 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 2 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7089 + ... + 47631.

It is an arithmetic number, because the mean of its divisors is an integer number (27671280).

Almost surely, 2^1109256480 is an apocalyptic number.

1109256480 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 1109256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992332160).

1109256480 is an abundant number, since it is smaller than the sum of its proper divisors (2875407840).

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

1109256480 is a wasteful number, since it uses less digits than its factorization.

1109256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40583 (or 40572 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1109256480 is about 33305.5022481271. The cubic root of 1109256480 is about 1035.1675707117.

The spelling of 1109256480 in words is "one billion, one hundred nine million, two hundred fifty-six thousand, four hundred eighty".