213129408 has 168 divisors, whose sum is σ = 628814592. Its totient is φ = 63574016.

The previous prime is 213129401. The next prime is 213129409. The reversal of 213129408 is 804921312.

213129408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213129401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1276141 + ... + 1276307.

It is an arithmetic number, because the mean of its divisors is an integer number (3742944).

Almost surely, 2^213129408 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 213129408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314407296).

213129408 is an abundant number, since it is smaller than the sum of its proper divisors (415685184).

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

213129408 is a wasteful number, since it uses less digits than its factorization.

213129408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 213129408 is about 14598.9522911749. The cubic root of 213129408 is about 597.3301821865.

The spelling of 213129408 in words is "two hundred thirteen million, one hundred twenty-nine thousand, four hundred eight".