230379240 has 384 divisors, whose sum is σ = 915989760. Its totient is φ = 45121536.

The previous prime is 230379229. The next prime is 230379271. The reversal of 230379240 is 42973032.

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 = 230379198 and 230379207.

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 95 ways as a sum of consecutive naturals, for example, 3155844 + ... + 3155916.

It is an arithmetic number, because the mean of its divisors is an integer number (2385390).

Almost surely, 2^230379240 is an apocalyptic number.

230379240 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 230379240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457994880).

230379240 is an abundant number, since it is smaller than the sum of its proper divisors (685610520).

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

230379240 is a wasteful number, since it uses less digits than its factorization.

230379240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 230379240 is about 15178.2489108592. The cubic root of 230379240 is about 613.0291326490.

The spelling of 230379240 in words is "two hundred thirty million, three hundred seventy-nine thousand, two hundred forty".