1216530480 has 320 divisors, whose sum is σ = 4399718400. Its totient is φ = 274959360.

The previous prime is 1216530479. The next prime is 1216530481. The reversal of 1216530480 is 840356121.

It is an interprime number because it is at equal distance from previous prime (1216530479) and next prime (1216530481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1216530481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3962487 + ... + 3962793.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^1216530480 is an apocalyptic number.

1216530480 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 1216530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199859200).

1216530480 is an abundant number, since it is smaller than the sum of its proper divisors (3183187920).

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

1216530480 is a wasteful number, since it uses less digits than its factorization.

1216530480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1216530480 is about 34878.7969976030. The cubic root of 1216530480 is about 1067.5158489531.

The spelling of 1216530480 in words is "one billion, two hundred sixteen million, five hundred thirty thousand, four hundred eighty".