211656480 has 144 divisors (see below), whose sum is σ = 775656000. Its totient is φ = 48373248.

The previous prime is 211656469. The next prime is 211656491. The reversal of 211656480 is 84656112.

211656480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211656469) and next prime (211656491).

It is a super-3 number, since 3×211656480³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19021 + ... + 28019.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^211656480 is an apocalyptic number.

211656480 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 211656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387828000).

211656480 is an abundant number, since it is smaller than the sum of its proper divisors (563999520).

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

211656480 is a wasteful number, since it uses less digits than its factorization.

211656480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9031 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 211656480 is about 14548.4184707479. The cubic root of 211656480 is about 595.9509591347.

The spelling of 211656480 in words is "two hundred eleven million, six hundred fifty-six thousand, four hundred eighty".