1214468920 has 96 divisors (see below), whose sum is σ = 3192378480. Its totient is φ = 414597120.

The previous prime is 1214468917. The next prime is 1214468963. The reversal of 1214468920 is 298644121.

It is a self number, because there is not a number n which added to its sum of digits gives 1214468920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 502515 + ... + 504925.

Almost surely, 2^1214468920 is an apocalyptic number.

1214468920 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 1214468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596189240).

1214468920 is an abundant number, since it is smaller than the sum of its proper divisors (1977909560).

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

1214468920 is a wasteful number, since it uses less digits than its factorization.

1214468920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1214468920 is about 34849.2312684226. The cubic root of 1214468920 is about 1066.9124958580.

The spelling of 1214468920 in words is "one billion, two hundred fourteen million, four hundred sixty-eight thousand, nine hundred twenty".