230294350440 has 768 divisors, whose sum is σ = 955061452800. Its totient is φ = 46743091200.

The previous prime is 230294350427. The next prime is 230294350441. The reversal of 230294350440 is 44053492032.

230294350440 is a `hidden beast` number, since 23 + 0 + 2 + 94 + 3 + 504 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 230294350395 and 230294350404.

It is not an unprimeable number, because it can be changed into a prime (230294350441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225557130 + ... + 225558150.

It is an arithmetic number, because the mean of its divisors is an integer number (1243569600).

Almost surely, 2^230294350440 is an apocalyptic number.

230294350440 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 230294350440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477530726400).

230294350440 is an abundant number, since it is smaller than the sum of its proper divisors (724767102360).

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

230294350440 is a wasteful number, since it uses less digits than its factorization.

230294350440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 230294350440 in words is "two hundred thirty billion, two hundred ninety-four million, three hundred fifty thousand, four hundred forty".