216429120 has 84 divisors (see below), whose sum is σ = 744435900. Its totient is φ = 57713664.

The previous prime is 216429107. The next prime is 216429127. The reversal of 216429120 is 21924612.

216429120 is a `hidden beast` number, since 2 + 1 + 642 + 9 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 186486336 = 5472^2 + 13656^2 .

It is not an unprimeable number, because it can be changed into a prime (216429127) 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, 34695 + ... + 40454.

Almost surely, 2^216429120 is an apocalyptic number.

216429120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216429120 is an abundant number, since it is smaller than the sum of its proper divisors (528006780).

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

216429120 is a wasteful number, since it uses less digits than its factorization.

216429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75172 (or 75159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 216429120 is about 14711.5301719434. The cubic root of 216429120 is about 600.3970705004.

The spelling of 216429120 in words is "two hundred sixteen million, four hundred twenty-nine thousand, one hundred twenty".