211372416 has 320 divisors, whose sum is σ = 703494000. Its totient is φ = 62705664.

The previous prime is 211372393. The next prime is 211372429. The reversal of 211372416 is 614273112.

211372416 is a `hidden beast` number, since 211 + 37 + 2 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 211372416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5712750 + ... + 5712786.

Almost surely, 2^211372416 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 211372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351747000).

211372416 is an abundant number, since it is smaller than the sum of its proper divisors (492121584).

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

211372416 is a wasteful number, since it uses less digits than its factorization.

211372416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 211372416 is about 14538.6524822626. The cubic root of 211372416 is about 595.6842313318.

It can be divided in two parts, 2113 and 72416, that added together give a square (74529 = 273²).

The spelling of 211372416 in words is "two hundred eleven million, three hundred seventy-two thousand, four hundred sixteen".