211233408 has 128 divisors (see below), whose sum is σ = 582966720. Its totient is φ = 67731456.

The previous prime is 211233391. The next prime is 211233433. The reversal of 211233408 is 804332112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1974091 + ... + 1974197.

Almost surely, 2^211233408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211233408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291483360).

211233408 is an abundant number, since it is smaller than the sum of its proper divisors (371733312).

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

211233408 is a wasteful number, since it uses less digits than its factorization.

211233408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 211233408 is about 14533.8710603886. The cubic root of 211233408 is about 595.5536197886.

It can be divided in two parts, 21123 and 3408, that added together give a triangular number (24531 = T₂₂₁).

The spelling of 211233408 in words is "two hundred eleven million, two hundred thirty-three thousand, four hundred eight".