211329480 has 64 divisors (see below), whose sum is σ = 654451200. Its totient is φ = 54535680.

The previous prime is 211329479. The next prime is 211329493. The reversal of 211329480 is 84923112.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 24685 + ... + 32124.

It is an arithmetic number, because the mean of its divisors is an integer number (10225800).

Almost surely, 2^211329480 is an apocalyptic number.

211329480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211329480 is an abundant number, since it is smaller than the sum of its proper divisors (443121720).

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

211329480 is a wasteful number, since it uses less digits than its factorization.

211329480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56854 (or 56850 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 211329480 is about 14537.1757917417. The cubic root of 211329480 is about 595.6438948953.

The spelling of 211329480 in words is "two hundred eleven million, three hundred twenty-nine thousand, four hundred eighty".