212005464 has 64 divisors (see below), whose sum is σ = 583994880. Its totient is φ = 63600000.

The previous prime is 212005463. The next prime is 212005471. The reversal of 212005464 is 464500212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212005463) 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 15 ways as a sum of consecutive naturals, for example, 22689 + ... + 30639.

It is an arithmetic number, because the mean of its divisors is an integer number (9124920).

Almost surely, 2^212005464 is an apocalyptic number.

212005464 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 212005464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291997440).

212005464 is an abundant number, since it is smaller than the sum of its proper divisors (371989416).

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

212005464 is a wasteful number, since it uses less digits than its factorization.

212005464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072 (or 8068 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 212005464 is about 14560.4074118824. The cubic root of 212005464 is about 596.2783184296.

Adding to 212005464 its reverse (464500212), we get a palindrome (676505676).

The spelling of 212005464 in words is "two hundred twelve million, five thousand, four hundred sixty-four".