211412640 has 48 divisors (see below), whose sum is σ = 665951328. Its totient is φ = 56376576.

The previous prime is 211412623. The next prime is 211412657. The reversal of 211412640 is 46214112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211412623) and next prime (211412657).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 219742 + ... + 220701.

It is an arithmetic number, because the mean of its divisors is an integer number (13873986).

Almost surely, 2^211412640 is an apocalyptic number.

211412640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211412640 is an abundant number, since it is smaller than the sum of its proper divisors (454538688).

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

211412640 is a wasteful number, since it uses less digits than its factorization.

211412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440461 (or 440453 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 211412640 is about 14540.0357633673. The cubic root of 211412640 is about 595.7220150112.

Adding to 211412640 its reverse (46214112), we get a palindrome (257626752).

The spelling of 211412640 in words is "two hundred eleven million, four hundred twelve thousand, six hundred forty".