213027408 has 240 divisors, whose sum is σ = 716579136. Its totient is φ = 60549120.

The previous prime is 213027383. The next prime is 213027413. The reversal of 213027408 is 804720312.

213027408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726910 + ... + 727202.

Almost surely, 2^213027408 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 213027408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358289568).

213027408 is an abundant number, since it is smaller than the sum of its proper divisors (503551728).

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

213027408 is a wasteful number, since it uses less digits than its factorization.

213027408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 213027408 is about 14595.4584717302. The cubic root of 213027408 is about 597.2348763949.

The spelling of 213027408 in words is "two hundred thirteen million, twenty-seven thousand, four hundred eight".