231208416 has 288 divisors, whose sum is σ = 754790400. Its totient is φ = 66769920.

The previous prime is 231208409. The next prime is 231208421. The reversal of 231208416 is 614802132.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 231208416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4919305 + ... + 4919351.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^231208416 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 231208416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

231208416 is an abundant number, since it is smaller than the sum of its proper divisors (523581984).

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

231208416 is a wasteful number, since it uses less digits than its factorization.

231208416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 231208416 is about 15205.5389907757. The cubic root of 231208416 is about 613.7637191348.

The spelling of 231208416 in words is "two hundred thirty-one million, two hundred eight thousand, four hundred sixteen".