216414352 has 80 divisors (see below), whose sum is σ = 553571712. Its totient is φ = 79349760.

The previous prime is 216414347. The next prime is 216414409. The reversal of 216414352 is 253414612.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 216414352.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15778 + ... + 26110.

Almost surely, 2^216414352 is an apocalyptic number.

216414352 is a gapful number since it is divisible by the number (22) 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 216414352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276785856).

216414352 is an abundant number, since it is smaller than the sum of its proper divisors (337157360).

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

216414352 is a wasteful number, since it uses less digits than its factorization.

216414352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376 (or 10370 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 216414352 is about 14711.0282441439. The cubic root of 216414352 is about 600.3834141963.

Adding to 216414352 its reverse (253414612), we get a palindrome (469828964).

The spelling of 216414352 in words is "two hundred sixteen million, four hundred fourteen thousand, three hundred fifty-two".