214433120 has 96 divisors (see below), whose sum is σ = 560558880. Its totient is φ = 76861440.

The previous prime is 214433101. The next prime is 214433123. The reversal of 214433120 is 21334412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214433092 and 214433101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214433123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127646 + ... + 129314.

It is an arithmetic number, because the mean of its divisors is an integer number (5839155).

Almost surely, 2^214433120 is an apocalyptic number.

214433120 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 214433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280279440).

214433120 is an abundant number, since it is smaller than the sum of its proper divisors (346125760).

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

214433120 is a wasteful number, since it uses less digits than its factorization.

214433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 214433120 is about 14643.5350923198. The cubic root of 214433120 is about 598.5456628726.

Adding to 214433120 its reverse (21334412), we get a palindrome (235767532).

It can be divided in two parts, 214 and 433120, that added together give a palindrome (433334).

The spelling of 214433120 in words is "two hundred fourteen million, four hundred thirty-three thousand, one hundred twenty".