214714080 has 432 divisors, whose sum is σ = 907517520. Its totient is φ = 45932544.

The previous prime is 214714069. The next prime is 214714099. The reversal of 214714080 is 80417412.

It is a super-3 number, since 3×214714080³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199431 + ... + 1199609.

It is an arithmetic number, because the mean of its divisors is an integer number (2100735).

Almost surely, 2^214714080 is an apocalyptic number.

214714080 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 214714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453758760).

214714080 is an abundant number, since it is smaller than the sum of its proper divisors (692803440).

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

214714080 is a wasteful number, since it uses less digits than its factorization.

214714080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 214714080 is about 14653.1252639155. The cubic root of 214714080 is about 598.8069626755.

The spelling of 214714080 in words is "two hundred fourteen million, seven hundred fourteen thousand, eighty".