1216788480 has 336 divisors, whose sum is σ = 4404221640. Its totient is φ = 322486272.

The previous prime is 1216788457. The next prime is 1216788569. The reversal of 1216788480 is 848876121.

1216788480 is a `hidden beast` number, since 1 + 2 + 167 + 8 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464879 + ... + 7465041.

Almost surely, 2^1216788480 is an apocalyptic number.

1216788480 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 1216788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202110820).

1216788480 is an abundant number, since it is smaller than the sum of its proper divisors (3187433160).

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

1216788480 is an frugal number, since it uses more digits than its factorization.

1216788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1216788480 is about 34882.4953235860. The cubic root of 1216788480 is about 1067.5913093507.

The spelling of 1216788480 in words is "one billion, two hundred sixteen million, seven hundred eighty-eight thousand, four hundred eighty".