230164416 has 140 divisors (see below), whose sum is σ = 706267320. Its totient is φ = 74027520.

The previous prime is 230164393. The next prime is 230164421. The reversal of 230164416 is 614461032.

230164416 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 644 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230164416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149571 + ... + 151101.

Almost surely, 2^230164416 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 230164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353133660).

230164416 is an abundant number, since it is smaller than the sum of its proper divisors (476102904).

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

230164416 is a wasteful number, since it uses less digits than its factorization.

230164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230164416 is about 15171.1705547067. The cubic root of 230164416 is about 612.8385276197.

The spelling of 230164416 in words is "two hundred thirty million, one hundred sixty-four thousand, four hundred sixteen".