214284980 has 96 divisors (see below), whose sum is σ = 557141760. Its totient is φ = 67415040.

The previous prime is 214284979. The next prime is 214285013. The reversal of 214284980 is 89482412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 511211 + ... + 511629.

It is an arithmetic number, because the mean of its divisors is an integer number (5803560).

Almost surely, 2^214284980 is an apocalyptic number.

214284980 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 214284980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278570880).

214284980 is an abundant number, since it is smaller than the sum of its proper divisors (342856780).

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

214284980 is a wasteful number, since it uses less digits than its factorization.

214284980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 214284980 is about 14638.4760135746. The cubic root of 214284980 is about 598.4077970723.

The spelling of 214284980 in words is "two hundred fourteen million, two hundred eighty-four thousand, nine hundred eighty".