216271944 has 192 divisors, whose sum is σ = 725437440. Its totient is φ = 59019840.

The previous prime is 216271933. The next prime is 216271949. The reversal of 216271944 is 449172612.

It is a happy number.

216271944 is a `hidden beast` number, since 21 + 627 + 1 + 9 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 216271899 and 216271908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216271949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312639 + ... + 313329.

It is an arithmetic number, because the mean of its divisors is an integer number (3778320).

Almost surely, 2^216271944 is an apocalyptic number.

216271944 is a gapful number since it is divisible by the number (24) 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 216271944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362718720).

216271944 is an abundant number, since it is smaller than the sum of its proper divisors (509165496).

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

216271944 is a wasteful number, since it uses less digits than its factorization.

216271944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 726 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 216271944 is about 14706.1872693095. The cubic root of 216271944 is about 600.2516944018.

The spelling of 216271944 in words is "two hundred sixteen million, two hundred seventy-one thousand, nine hundred forty-four".