230415808 has 112 divisors (see below), whose sum is σ = 552443904. Its totient is φ = 93265920.

The previous prime is 230415799. The next prime is 230415811. The reversal of 230415808 is 808514032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 230415808.

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 15 ways as a sum of consecutive naturals, for example, 652560 + ... + 652912.

Almost surely, 2^230415808 is an apocalyptic number.

230415808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230415808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276221952).

230415808 is an abundant number, since it is smaller than the sum of its proper divisors (322028096).

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

230415808 is a wasteful number, since it uses less digits than its factorization.

230415808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 230415808 is about 15179.4534815981. The cubic root of 230415808 is about 613.0615662186.

The spelling of 230415808 in words is "two hundred thirty million, four hundred fifteen thousand, eight hundred eight".