230805408 has 96 divisors (see below), whose sum is σ = 627419520. Its totient is φ = 74234880.

The previous prime is 230805401. The next prime is 230805431. The reversal of 230805408 is 804508032.

230805408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×230805408² = 106542272724092928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230805401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642733 + ... + 643091.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 2^230805408 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 230805408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313709760).

230805408 is an abundant number, since it is smaller than the sum of its proper divisors (396614112).

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

230805408 is a wasteful number, since it uses less digits than its factorization.

230805408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 230805408 is about 15192.2811980295. The cubic root of 230805408 is about 613.4069046381.

The spelling of 230805408 in words is "two hundred thirty million, eight hundred five thousand, four hundred eight".