211380480 has 216 divisors, whose sum is σ = 746141760. Its totient is φ = 55234560.

The previous prime is 211380467. The next prime is 211380523. The reversal of 211380480 is 84083112.

211380480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 679525 + ... + 679835.

It is an arithmetic number, because the mean of its divisors is an integer number (3454360).

Almost surely, 2^211380480 is an apocalyptic number.

211380480 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 211380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373070880).

211380480 is an abundant number, since it is smaller than the sum of its proper divisors (534761280).

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

211380480 is a wasteful number, since it uses less digits than its factorization.

211380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 211380480 is about 14538.9298093085. The cubic root of 211380480 is about 595.6918064870.

The spelling of 211380480 in words is "two hundred eleven million, three hundred eighty thousand, four hundred eighty".