214413440 has 32 divisors (see below), whose sum is σ = 512583660. Its totient is φ = 85765120.

The previous prime is 214413431. The next prime is 214413457. The reversal of 214413440 is 44314412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 192210496 + 22202944 = 13864^2 + 4712^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 166871 + ... + 168150.

Almost surely, 2^214413440 is an apocalyptic number.

214413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214413440 is an abundant number, since it is smaller than the sum of its proper divisors (298170220).

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

214413440 is an equidigital number, since it uses as much as digits as its factorization.

214413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335040 (or 335028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 214413440 is about 14642.8631080127. The cubic root of 214413440 is about 598.5273514304.

Adding to 214413440 its reverse (44314412), we get a palindrome (258727852).

The spelling of 214413440 in words is "two hundred fourteen million, four hundred thirteen thousand, four hundred forty".