214406920 has 192 divisors, whose sum is σ = 626123520. Its totient is φ = 64576512.

The previous prime is 214406891. The next prime is 214406923. The reversal of 214406920 is 29604412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (214406923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088262 + ... + 1088458.

It is an arithmetic number, because the mean of its divisors is an integer number (3261060).

Almost surely, 2^214406920 is an apocalyptic number.

214406920 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 214406920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313061760).

214406920 is an abundant number, since it is smaller than the sum of its proper divisors (411716600).

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

214406920 is a wasteful number, since it uses less digits than its factorization.

214406920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 214406920 is about 14642.6404722646. The cubic root of 214406920 is about 598.5212845877.

The spelling of 214406920 in words is "two hundred fourteen million, four hundred six thousand, nine hundred twenty".