211320480 has 192 divisors, whose sum is σ = 769063680. Its totient is φ = 47775744.

The previous prime is 211320467. The next prime is 211320491. The reversal of 211320480 is 84023112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 365952 + ... + 366528.

It is an arithmetic number, because the mean of its divisors is an integer number (4005540).

Almost surely, 2^211320480 is an apocalyptic number.

211320480 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 211320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384531840).

211320480 is an abundant number, since it is smaller than the sum of its proper divisors (557743200).

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

211320480 is a wasteful number, since it uses less digits than its factorization.

211320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 211320480 is about 14536.8662372604. The cubic root of 211320480 is about 595.6354391084.

Adding to 211320480 its reverse (84023112), we get a palindrome (295343592).

The spelling of 211320480 in words is "two hundred eleven million, three hundred twenty thousand, four hundred eighty".