1214455984 has 120 divisors (see below), whose sum is σ = 2900781600. Its totient is φ = 492283008.

The previous prime is 1214455973. The next prime is 1214455987. The reversal of 1214455984 is 4895544121.

It is a self number, because there is not a number n which added to its sum of digits gives 1214455984.

It is not an unprimeable number, because it can be changed into a prime (1214455987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1980862 + ... + 1981474.

It is an arithmetic number, because the mean of its divisors is an integer number (24173180).

Almost surely, 2^1214455984 is an apocalyptic number.

1214455984 is a gapful number since it is divisible by the number (14) 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 1214455984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450390800).

1214455984 is an abundant number, since it is smaller than the sum of its proper divisors (1686325616).

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

1214455984 is an equidigital number, since it uses as much as digits as its factorization.

1214455984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 641 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The square root of 1214455984 is about 34849.0456684254. The cubic root of 1214455984 is about 1066.9087077471.

The spelling of 1214455984 in words is "one billion, two hundred fourteen million, four hundred fifty-five thousand, nine hundred eighty-four".