211929480 has 384 divisors, whose sum is σ = 866476800. Its totient is φ = 45121536.

The previous prime is 211929469. The next prime is 211929491. The reversal of 211929480 is 84929112.

It is an interprime number because it is at equal distance from previous prime (211929469) and next prime (211929491).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2184792 + ... + 2184888.

It is an arithmetic number, because the mean of its divisors is an integer number (2256450).

Almost surely, 2^211929480 is an apocalyptic number.

211929480 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 211929480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433238400).

211929480 is an abundant number, since it is smaller than the sum of its proper divisors (654547320).

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

211929480 is a wasteful number, since it uses less digits than its factorization.

211929480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 211929480 is about 14557.7979103984. The cubic root of 211929480 is about 596.2070733702.

Subtracting from 211929480 its product of nonzero digits (10368), we obtain a palindrome (211919112).

The spelling of 211929480 in words is "two hundred eleven million, nine hundred twenty-nine thousand, four hundred eighty".