216325408 has 96 divisors (see below), whose sum is σ = 491203440. Its totient is φ = 93450240.

The previous prime is 216325399. The next prime is 216325411. The reversal of 216325408 is 804523612.

It can be written as a sum of positive squares in 8 ways, for example, as 30603024 + 185722384 = 5532^2 + 13628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216325408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195078 + ... + 1195258.

Almost surely, 2^216325408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216325408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245601720).

216325408 is an abundant number, since it is smaller than the sum of its proper divisors (274878032).

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

216325408 is a wasteful number, since it uses less digits than its factorization.

216325408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 216325408 is about 14708.0048952943. The cubic root of 216325408 is about 600.3011525237.

It can be divided in two parts, 21632 and 5408, that multiplied together give a 4-th power (116985856 = 104⁴).

The spelling of 216325408 in words is "two hundred sixteen million, three hundred twenty-five thousand, four hundred eight".