211990464 has 336 divisors, whose sum is σ = 752856000. Its totient is φ = 56899584.

The previous prime is 211990463. The next prime is 211990469. The reversal of 211990464 is 464099112.

It is a happy number.

211990464 is a `hidden beast` number, since 2 + 1 + 199 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211990463) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5729454 + ... + 5729490.

Almost surely, 2^211990464 is an apocalyptic number.

211990464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376428000).

211990464 is an abundant number, since it is smaller than the sum of its proper divisors (540865536).

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

211990464 is a wasteful number, since it uses less digits than its factorization.

211990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 211990464 is about 14559.8923072940. The cubic root of 211990464 is about 596.2642552925.

The spelling of 211990464 in words is "two hundred eleven million, nine hundred ninety thousand, four hundred sixty-four".