230979840 has 288 divisors, whose sum is σ = 909302016. Its totient is φ = 48660480.

The previous prime is 230979839. The next prime is 230979841. The reversal of 230979840 is 48979032.

It is an interprime number because it is at equal distance from previous prime (230979839) and next prime (230979841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 230979792 and 230979801.

It is not an unprimeable number, because it can be changed into a prime (230979841) 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 31 ways as a sum of consecutive naturals, for example, 349110 + ... + 349770.

Almost surely, 2^230979840 is an apocalyptic number.

230979840 is a gapful number since it is divisible by the number (20) 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 230979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454651008).

230979840 is an abundant number, since it is smaller than the sum of its proper divisors (678322176).

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

230979840 is a wasteful number, since it uses less digits than its factorization.

230979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 230979840 is about 15198.0209237914. The cubic root of 230979840 is about 613.5613938689.

The spelling of 230979840 in words is "two hundred thirty million, nine hundred seventy-nine thousand, eight hundred forty".