212113408 has 96 divisors (see below), whose sum is σ = 473316480. Its totient is φ = 94371840.

The previous prime is 212113393. The next prime is 212113427. The reversal of 212113408 is 804311212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825216 + ... + 825472.

It is an arithmetic number, because the mean of its divisors is an integer number (4930380).

Almost surely, 2^212113408 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 212113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236658240).

212113408 is an abundant number, since it is smaller than the sum of its proper divisors (261203072).

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

212113408 is a wasteful number, since it uses less digits than its factorization.

212113408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 212113408 is about 14564.1137045822. The cubic root of 212113408 is about 596.3795009570.

It can be divided in two parts, 212113 and 408, that added together give a square (212521 = 461²).

The spelling of 212113408 in words is "two hundred twelve million, one hundred thirteen thousand, four hundred eight".