230971440 has 80 divisors (see below), whose sum is σ = 818304768. Its totient is φ = 52793088.

The previous prime is 230971439. The next prime is 230971441. The reversal of 230971440 is 44179032.

It is a happy number.

230971440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230971439) and next prime (230971441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 230971398 and 230971407.

It is not an unprimeable number, because it can be changed into a prime (230971441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67062 + ... + 70421.

Almost surely, 2^230971440 is an apocalyptic number.

230971440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230971440 is an abundant number, since it is smaller than the sum of its proper divisors (587333328).

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

230971440 is a wasteful number, since it uses less digits than its factorization.

230971440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137506 (or 137500 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 230971440 is about 15197.7445695077. The cubic root of 230971440 is about 613.5539560218.

The spelling of 230971440 in words is "two hundred thirty million, nine hundred seventy-one thousand, four hundred forty".