214264872 has 256 divisors, whose sum is σ = 684288000. Its totient is φ = 61737984.

The previous prime is 214264871. The next prime is 214264913. The reversal of 214264872 is 278462412.

214264872 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 648 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214264871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3631579 + ... + 3631637.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2^214264872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214264872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342144000).

214264872 is an abundant number, since it is smaller than the sum of its proper divisors (470023128).

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

214264872 is a wasteful number, since it uses less digits than its factorization.

214264872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 214264872 is about 14637.7891773314. The cubic root of 214264872 is about 598.3890787587.

The spelling of 214264872 in words is "two hundred fourteen million, two hundred sixty-four thousand, eight hundred seventy-two".