212541408 has 96 divisors (see below), whose sum is σ = 627772320. Its totient is φ = 70823808.

The previous prime is 212541403. The next prime is 212541437. The reversal of 212541408 is 804145212.

212541408 is a `hidden beast` number, since 2 + 1 + 254 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×212541408² = 90347700229244928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212541403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68466 + ... + 71502.

It is an arithmetic number, because the mean of its divisors is an integer number (6539295).

Almost surely, 2^212541408 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 212541408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313886160).

212541408 is an abundant number, since it is smaller than the sum of its proper divisors (415230912).

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

212541408 is an frugal number, since it uses more digits than its factorization.

212541408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 212541408 is about 14578.7999506132. The cubic root of 212541408 is about 596.7803540361.

The spelling of 212541408 in words is "two hundred twelve million, five hundred forty-one thousand, four hundred eight".