214428240 has 240 divisors, whose sum is σ = 801615360. Its totient is φ = 51010560.

The previous prime is 214428169. The next prime is 214428257. The reversal of 214428240 is 42824412.

214428240 is a `hidden beast` number, since 214 + 428 + 24 + 0 = 666.

214428240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289791 + ... + 290529.

It is an arithmetic number, because the mean of its divisors is an integer number (3340064).

Almost surely, 2^214428240 is an apocalyptic number.

214428240 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 214428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400807680).

214428240 is an abundant number, since it is smaller than the sum of its proper divisors (587187120).

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

214428240 is a wasteful number, since it uses less digits than its factorization.

214428240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 214428240 is about 14643.3684649400. The cubic root of 214428240 is about 598.5411223349.

The spelling of 214428240 in words is "two hundred fourteen million, four hundred twenty-eight thousand, two hundred forty".