230283648 has 320 divisors, whose sum is σ = 829382400. Its totient is φ = 61959168.

The previous prime is 230283617. The next prime is 230283661. The reversal of 230283648 is 846382032.

230283648 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 8 + 3 + 648 = 666.

230283648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378861 + ... + 1379027.

It is an arithmetic number, because the mean of its divisors is an integer number (2591820).

Almost surely, 2^230283648 is an apocalyptic number.

230283648 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 230283648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414691200).

230283648 is an abundant number, since it is smaller than the sum of its proper divisors (599098752).

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

230283648 is a wasteful number, since it uses less digits than its factorization.

230283648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 230283648 is about 15175.0996042860. The cubic root of 230283648 is about 612.9443322017.

The spelling of 230283648 in words is "two hundred thirty million, two hundred eighty-three thousand, six hundred forty-eight".