214323408 has 100 divisors (see below), whose sum is σ = 668083108. Its totient is φ = 65940480.

The previous prime is 214323397. The next prime is 214323433. The reversal of 214323408 is 804323412.

214323408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 111260304 + 103063104 = 10548^2 + 10152^2 .

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10488 + ... + 23208.

Almost surely, 2^214323408 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 214323408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334041554).

214323408 is an abundant number, since it is smaller than the sum of its proper divisors (453759700).

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

214323408 is a wasteful number, since it uses less digits than its factorization.

214323408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12754 (or 12739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214323408 is about 14639.7885230628. The cubic root of 214323408 is about 598.4435660132.

The spelling of 214323408 in words is "two hundred fourteen million, three hundred twenty-three thousand, four hundred eight".