211420410 has 64 divisors (see below), whose sum is σ = 541537920. Its totient is φ = 52669440.

The previous prime is 211420409. The next prime is 211420453. The reversal of 211420410 is 14024112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211420410.

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, 39070 + ... + 44150.

It is an arithmetic number, because the mean of its divisors is an integer number (8461530).

Almost surely, 2^211420410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211420410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270768960).

211420410 is an abundant number, since it is smaller than the sum of its proper divisors (330117510).

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

211420410 is a wasteful number, since it uses less digits than its factorization.

211420410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 211420410 is about 14540.3029542028. The cubic root of 211420410 is about 595.7293130664.

Adding to 211420410 its reverse (14024112), we get a palindrome (225444522).

The spelling of 211420410 in words is "two hundred eleven million, four hundred twenty thousand, four hundred ten".