214416720 has 400 divisors, whose sum is σ = 885836160. Its totient is φ = 47029248.

The previous prime is 214416703. The next prime is 214416721. The reversal of 214416720 is 27614412.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214416721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1315359 + ... + 1315521.

Almost surely, 2^214416720 is an apocalyptic number.

214416720 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 214416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442918080).

214416720 is an abundant number, since it is smaller than the sum of its proper divisors (671419440).

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

214416720 is a wasteful number, since it uses less digits than its factorization.

214416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 214416720 is about 14642.9751075388. The cubic root of 214416720 is about 598.5304034153.

The spelling of 214416720 in words is "two hundred fourteen million, four hundred sixteen thousand, seven hundred twenty".