214411296 has 96 divisors (see below), whose sum is σ = 617053248. Its totient is φ = 64650240.

The previous prime is 214411277. The next prime is 214411303. The reversal of 214411296 is 692114412.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292146 + ... + 292878.

It is an arithmetic number, because the mean of its divisors is an integer number (6427638).

Almost surely, 2^214411296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214411296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308526624).

214411296 is an abundant number, since it is smaller than the sum of its proper divisors (402641952).

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

214411296 is a wasteful number, since it uses less digits than its factorization.

214411296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 214411296 is about 14642.7898981034. The cubic root of 214411296 is about 598.5253564577.

The spelling of 214411296 in words is "two hundred fourteen million, four hundred eleven thousand, two hundred ninety-six".