214484160 has 224 divisors, whose sum is σ = 782726400. Its totient is φ = 49213440.

The previous prime is 214484143. The next prime is 214484167. The reversal of 214484160 is 61484412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (214484167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200106 + ... + 201174.

Almost surely, 2^214484160 is an apocalyptic number.

214484160 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 214484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391363200).

214484160 is an abundant number, since it is smaller than the sum of its proper divisors (568242240).

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

214484160 is a wasteful number, since it uses less digits than its factorization.

214484160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 214484160 is about 14645.2777372094. The cubic root of 214484160 is about 598.5931483032.

The spelling of 214484160 in words is "two hundred fourteen million, four hundred eighty-four thousand, one hundred sixty".