1214248320 has 320 divisors, whose sum is σ = 4420904400. Its totient is φ = 317509632.

The previous prime is 1214248297. The next prime is 1214248349. The reversal of 1214248320 is 238424121.

1214248320 is a `hidden beast` number, since 121 + 42 + 483 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3058362 + ... + 3058758.

Almost surely, 2^1214248320 is an apocalyptic number.

1214248320 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 1214248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210452200).

1214248320 is an abundant number, since it is smaller than the sum of its proper divisors (3206656080).

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

1214248320 is an equidigital number, since it uses as much as digits as its factorization.

1214248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1214248320 is about 34846.0660620392. The cubic root of 1214248320 is about 1066.8478928191.

The spelling of 1214248320 in words is "one billion, two hundred fourteen million, two hundred forty-eight thousand, three hundred twenty".