212004408 has 128 divisors (see below), whose sum is σ = 668736000. Its totient is φ = 54405120.

The previous prime is 212004371. The next prime is 212004427. The reversal of 212004408 is 804400212.

212004408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212004408² = 89891738022860928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163828 + ... + 165116.

It is an arithmetic number, because the mean of its divisors is an integer number (5224500).

Almost surely, 2^212004408 is an apocalyptic number.

212004408 is a gapful number since it is divisible by the number (28) 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 212004408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334368000).

212004408 is an abundant number, since it is smaller than the sum of its proper divisors (456731592).

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

212004408 is a wasteful number, since it uses less digits than its factorization.

212004408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 212004408 is about 14560.3711491157. The cubic root of 212004408 is about 596.2773284065.

The spelling of 212004408 in words is "two hundred twelve million, four thousand, four hundred eight".