214303040 has 112 divisors (see below), whose sum is σ = 603504000. Its totient is φ = 70920192.

The previous prime is 214303021. The next prime is 214303043. The reversal of 214303040 is 40303412.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214303043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63311 + ... + 66609.

Almost surely, 2^214303040 is an apocalyptic number.

214303040 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 214303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301752000).

214303040 is an abundant number, since it is smaller than the sum of its proper divisors (389200960).

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

214303040 is a wasteful number, since it uses less digits than its factorization.

214303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 214303040 is about 14639.0928680708. The cubic root of 214303040 is about 598.4246079274.

Adding to 214303040 its reverse (40303412), we get a palindrome (254606452).

The spelling of 214303040 in words is "two hundred fourteen million, three hundred three thousand, forty".