211009400 has 48 divisors (see below), whose sum is σ = 560685840. Its totient is φ = 72345600.

The previous prime is 211009399. The next prime is 211009417. The reversal of 211009400 is 4900112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73961 + ... + 76760.

It is an arithmetic number, because the mean of its divisors is an integer number (11680955).

Almost surely, 2^211009400 is an apocalyptic number.

211009400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211009400 is an abundant number, since it is smaller than the sum of its proper divisors (349676440).

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

211009400 is a wasteful number, since it uses less digits than its factorization.

211009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150744 (or 150735 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 211009400 is about 14526.1626040741. The cubic root of 211009400 is about 595.3430218482.

Adding to 211009400 its reverse (4900112), we get a palindrome (215909512).

The spelling of 211009400 in words is "two hundred eleven million, nine thousand, four hundred".