216461952 has 192 divisors, whose sum is σ = 754228800. Its totient is φ = 58171392.

The previous prime is 216461929. The next prime is 216461953. The reversal of 216461952 is 259164612.

216461952 is a `hidden beast` number, since 2 + 1 + 646 + 1 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (216461953) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136299 + ... + 137877.

It is an arithmetic number, because the mean of its divisors is an integer number (3928275).

Almost surely, 2^216461952 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 216461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377114400).

216461952 is an abundant number, since it is smaller than the sum of its proper divisors (537766848).

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

216461952 is a wasteful number, since it uses less digits than its factorization.

216461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1608 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 216461952 is about 14712.6459890803. The cubic root of 216461952 is about 600.4274287688.

The spelling of 216461952 in words is "two hundred sixteen million, four hundred sixty-one thousand, nine hundred fifty-two".