214347424 has 48 divisors (see below), whose sum is σ = 448497000. Its totient is φ = 100491264.

The previous prime is 214347403. The next prime is 214347431. The reversal of 214347424 is 424743412.

It can be written as a sum of positive squares in 4 ways, for example, as 186595600 + 27751824 = 13660^2 + 5268^2 .

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 7 ways as a sum of consecutive naturals, for example, 189292 + ... + 190420.

Almost surely, 2^214347424 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 214347424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224248500).

214347424 is an abundant number, since it is smaller than the sum of its proper divisors (234149576).

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

214347424 is a wasteful number, since it uses less digits than its factorization.

214347424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1497 counting only the distinct ones).

The product of its digits is 21504, while the sum is 31.

The square root of 214347424 is about 14640.6087305139. The cubic root of 214347424 is about 598.4659180341.

The spelling of 214347424 in words is "two hundred fourteen million, three hundred forty-seven thousand, four hundred twenty-four".