216452160 has 168 divisors, whose sum is σ = 788477976. Its totient is φ = 54312960.

The previous prime is 216452129. The next prime is 216452167. The reversal of 216452160 is 61254612.

216452160 is a `hidden beast` number, since 2 + 1 + 645 + 2 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79281216 + 137170944 = 8904^2 + 11712^2 .

It is not an unprimeable number, because it can be changed into a prime (216452167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46750 + ... + 51170.

Almost surely, 2^216452160 is an apocalyptic number.

216452160 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 216452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394238988).

216452160 is an abundant number, since it is smaller than the sum of its proper divisors (572025816).

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

216452160 is a wasteful number, since it uses less digits than its factorization.

216452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216452160 is about 14712.3132103691. The cubic root of 216452160 is about 600.4183748696.

216452160 divided by its product of nonzero digits (2880) gives a palindrome (75157).

It can be divided in two parts, 216452 and 160, that added together give a palindrome (216612).

The spelling of 216452160 in words is "two hundred sixteen million, four hundred fifty-two thousand, one hundred sixty".