211848480 has 384 divisors, whose sum is σ = 816480000. Its totient is φ = 51093504.

The previous prime is 211848457. The next prime is 211848523. The reversal of 211848480 is 84848112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2380276 + ... + 2380364.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 2^211848480 is an apocalyptic number.

211848480 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 211848480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240000).

211848480 is an abundant number, since it is smaller than the sum of its proper divisors (604631520).

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

211848480 is a wasteful number, since it uses less digits than its factorization.

211848480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 211848480 is about 14555.0156303592. The cubic root of 211848480 is about 596.1311063916.

The spelling of 211848480 in words is "two hundred eleven million, eight hundred forty-eight thousand, four hundred eighty".