214840400 has 60 divisors (see below), whose sum is σ = 518940000. Its totient is φ = 85472640.

The previous prime is 214840397. The next prime is 214840477. The reversal of 214840400 is 4048412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78251 + ... + 80949.

It is an arithmetic number, because the mean of its divisors is an integer number (8649000).

Almost surely, 2^214840400 is an apocalyptic number.

214840400 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 214840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259470000).

214840400 is an abundant number, since it is smaller than the sum of its proper divisors (304099600).

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

214840400 is a wasteful number, since it uses less digits than its factorization.

214840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 214840400 is about 14657.4349734188. The cubic root of 214840400 is about 598.9243691457.

Adding to 214840400 its reverse (4048412), we get a palindrome (218888812).

The spelling of 214840400 in words is "two hundred fourteen million, eight hundred forty thousand, four hundred".