214461120 has 168 divisors, whose sum is σ = 724259664. Its totient is φ = 53755904.

The previous prime is 214461089. The next prime is 214461133. The reversal of 214461120 is 21164412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277054 + ... + 277826.

Almost surely, 2^214461120 is an apocalyptic number.

214461120 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 214461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362129832).

214461120 is an abundant number, since it is smaller than the sum of its proper divisors (509798544).

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

214461120 is a wasteful number, since it uses less digits than its factorization.

214461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 214461120 is about 14644.4911144089. The cubic root of 214461120 is about 598.5717138066.

The spelling of 214461120 in words is "two hundred fourteen million, four hundred sixty-one thousand, one hundred twenty".