214184480 has 24 divisors (see below), whose sum is σ = 506011212. Its totient is φ = 85673728.

The previous prime is 214184471. The next prime is 214184489. The reversal of 214184480 is 84481412.

It is an interprime number because it is at equal distance from previous prime (214184471) and next prime (214184489).

It can be written as a sum of positive squares in 2 ways, for example, as 192987664 + 21196816 = 13892^2 + 4604^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (214184489) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 669167 + ... + 669486.

Almost surely, 2^214184480 is an apocalyptic number.

214184480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214184480 is an abundant number, since it is smaller than the sum of its proper divisors (291826732).

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

214184480 is a wasteful number, since it uses less digits than its factorization.

214184480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338668 (or 1338660 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 214184480 is about 14635.0428766027. The cubic root of 214184480 is about 598.3142310371.

The spelling of 214184480 in words is "two hundred fourteen million, one hundred eighty-four thousand, four hundred eighty".