214371040 has 96 divisors (see below), whose sum is σ = 569249856. Its totient is φ = 75694080.

The previous prime is 214371029. The next prime is 214371041. The reversal of 214371040 is 40173412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214371041) 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, 45600 + ... + 50080.

It is an arithmetic number, because the mean of its divisors is an integer number (5929686).

Almost surely, 2^214371040 is an apocalyptic number.

214371040 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 214371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284624928).

214371040 is an abundant number, since it is smaller than the sum of its proper divisors (354878816).

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

214371040 is a wasteful number, since it uses less digits than its factorization.

214371040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 214371040 is about 14641.4152321420. The cubic root of 214371040 is about 598.4878961415.

The spelling of 214371040 in words is "two hundred fourteen million, three hundred seventy-one thousand, forty".