214433820 has 144 divisors (see below), whose sum is σ = 680988672. Its totient is φ = 54552960.

The previous prime is 214433803. The next prime is 214433839. The reversal of 214433820 is 28334412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462909 + ... + 463371.

It is an arithmetic number, because the mean of its divisors is an integer number (4729088).

Almost surely, 2^214433820 is an apocalyptic number.

214433820 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 214433820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340494336).

214433820 is an abundant number, since it is smaller than the sum of its proper divisors (466554852).

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

214433820 is a wasteful number, since it uses less digits than its factorization.

214433820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 214433820 is about 14643.5589936327. The cubic root of 214433820 is about 598.5463141736.

The spelling of 214433820 in words is "two hundred fourteen million, four hundred thirty-three thousand, eight hundred twenty".