214342920 has 192 divisors, whose sum is σ = 768268800. Its totient is φ = 51394560.

The previous prime is 214342913. The next prime is 214342927. The reversal of 214342920 is 29243412.

214342920 is a `hidden beast` number, since 214 + 3 + 429 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (214342913) and next prime (214342927).

It is not an unprimeable number, because it can be changed into a prime (214342927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447241 + ... + 447719.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2^214342920 is an apocalyptic number.

214342920 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 214342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384134400).

214342920 is an abundant number, since it is smaller than the sum of its proper divisors (553925880).

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

214342920 is a wasteful number, since it uses less digits than its factorization.

214342920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214342920 is about 14640.4549109650. The cubic root of 214342920 is about 598.4617262267.

The spelling of 214342920 in words is "two hundred fourteen million, three hundred forty-two thousand, nine hundred twenty".