214434440 has 128 divisors (see below), whose sum is σ = 552960000. Its totient is φ = 74131200.

The previous prime is 214434431. The next prime is 214434443. The reversal of 214434440 is 44434412.

It is a happy number.

It is a super-2 number, since 2×214434440² = 91964258116227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214434443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1077461 + ... + 1077659.

It is an arithmetic number, because the mean of its divisors is an integer number (4320000).

Almost surely, 2^214434440 is an apocalyptic number.

214434440 is a gapful number since it is divisible by the number (20) 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 214434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276480000).

214434440 is an abundant number, since it is smaller than the sum of its proper divisors (338525560).

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

214434440 is a wasteful number, since it uses less digits than its factorization.

214434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 214434440 is about 14643.5801633344. The cubic root of 214434440 is about 598.5468910390.

Adding to 214434440 its reverse (44434412), we get a palindrome (258868852).

The spelling of 214434440 in words is "two hundred fourteen million, four hundred thirty-four thousand, four hundred forty".