211466320 has 60 divisors (see below), whose sum is σ = 532422396. Its totient is φ = 78074880.

The previous prime is 211466309. The next prime is 211466323. The reversal of 211466320 is 23664112.

It can be written as a sum of positive squares in 6 ways, for example, as 2143296 + 209323024 = 1464^2 + 14468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211466323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5700 + ... + 21340.

Almost surely, 2^211466320 is an apocalyptic number.

211466320 is a gapful number since it is divisible by the number (20) 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 211466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266211198).

211466320 is an abundant number, since it is smaller than the sum of its proper divisors (320956076).

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

211466320 is a wasteful number, since it uses less digits than its factorization.

211466320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15680 (or 15661 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 211466320 is about 14541.8815838942. The cubic root of 211466320 is about 595.7724308734.

The spelling of 211466320 in words is "two hundred eleven million, four hundred sixty-six thousand, three hundred twenty".