214404480 has 96 divisors (see below), whose sum is σ = 740385360. Its totient is φ = 57172992.

The previous prime is 214404473. The next prime is 214404481. The reversal of 214404480 is 84404412.

It is a happy number.

214404480 is a `hidden beast` number, since 214 + 4 + 0 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214404481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12852 + ... + 24371.

Almost surely, 2^214404480 is an apocalyptic number.

214404480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214404480 is an abundant number, since it is smaller than the sum of its proper divisors (525980880).

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

214404480 is a wasteful number, since it uses less digits than its factorization.

214404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37248 (or 37233 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 214404480 is about 14642.5571537215. The cubic root of 214404480 is about 598.5190141425.

Adding to 214404480 its reverse (84404412), we get a palindrome (298808892).

The spelling of 214404480 in words is "two hundred fourteen million, four hundred four thousand, four hundred eighty".