1100712480 has 288 divisors, whose sum is σ = 4114079424. Its totient is φ = 246564864.

The previous prime is 1100712467. The next prime is 1100712497. The reversal of 1100712480 is 842170011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1100712480.

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 47 ways as a sum of consecutive naturals, for example, 1246119 + ... + 1247001.

It is an arithmetic number, because the mean of its divisors is an integer number (14284998).

Almost surely, 2^1100712480 is an apocalyptic number.

1100712480 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 1100712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057039712).

1100712480 is an abundant number, since it is smaller than the sum of its proper divisors (3013366944).

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

1100712480 is a wasteful number, since it uses less digits than its factorization.

1100712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1100712480 is about 33176.9872049889. The cubic root of 1100712480 is about 1032.5029397599.

Adding to 1100712480 its reverse (842170011), we get a palindrome (1942882491).

The spelling of 1100712480 in words is "one billion, one hundred million, seven hundred twelve thousand, four hundred eighty".