214335400 has 48 divisors (see below), whose sum is σ = 499343040. Its totient is φ = 85560000.

The previous prime is 214335391. The next prime is 214335421. The reversal of 214335400 is 4533412.

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, 149487 + ... + 150913.

It is an arithmetic number, because the mean of its divisors is an integer number (10402980).

Almost surely, 2^214335400 is an apocalyptic number.

214335400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214335400 is an abundant number, since it is smaller than the sum of its proper divisors (285007640).

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

214335400 is a wasteful number, since it uses less digits than its factorization.

214335400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 214335400 is about 14640.1980860916. The cubic root of 214335400 is about 598.4547273410.

Adding to 214335400 its reverse (4533412), we get a palindrome (218868812).

The spelling of 214335400 in words is "two hundred fourteen million, three hundred thirty-five thousand, four hundred".