214301040 has 80 divisors (see below), whose sum is σ = 682316448. Its totient is φ = 55600128.

The previous prime is 214301029. The next prime is 214301069. The reversal of 214301040 is 40103412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3187 + ... + 20946.

Almost surely, 2^214301040 is an apocalyptic number.

214301040 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 214301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341158224).

214301040 is an abundant number, since it is smaller than the sum of its proper divisors (468015408).

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

214301040 is a wasteful number, since it uses less digits than its factorization.

214301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24186 (or 24180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 214301040 is about 14639.0245576678. The cubic root of 214301040 is about 598.4227463067.

Adding to 214301040 its reverse (40103412), we get a palindrome (254404452).

The spelling of 214301040 in words is "two hundred fourteen million, three hundred one thousand, forty".